9 ft. 10 cm. 8 ft. 9 cm. 17 cm. 10 cm. 8 cm. 15 cm. 18 m 16 m. 14 m. Geometry: Homework Problems. Rectangles & Parallelograms

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1 Geometry: Homework Problems Rectangles & Parallelograms Homework Find the area of each figure ft ft 10 cm 9 cm 17 cm mm 16. The length of a rectangle is 17 m and the width is 5.25 m. What is its area? cm 8 cm 17. How do you find the width of a rectangle when given the length and total area? 15 cm 18. How do you find the base of a parallelogram when given the height and total area? m 16 m 19. What is true of the base and height of a parallelogram? 14 m 20. What is the base of a parallelogram whose height is 7 cm and whose area is 63 cm 2?

2 Triangles & Trapezoids Find the area of each figure yd 8 ft 9 ft 9 yd 10 yd 11 ft yd m 22 m 13 m yd 12 yd 7 yd 12 yd 21 yd yd 14 yd 32. Find the height of a triangle whose area is 50 in 2 and whose base is 5 in. 9 yd

3 Irregular Figures Find the area of each figure ft m 7 m 16 ft 15 ft 18 ft 6 m 20 ft 17 ft 18 ft 17 m 14 ft cm m 22 cm 8 cm 18 m 8 m 7 m 8 m 11 cm 8 m

4 Shaded Figures Find the area of each shaded region cm 4 cm 6 cm 6 cm 8 cm 4 cm cm 24 cm 32 cm 40 cm cm 15 cm 7 cm 18 cm

5 3 Dimensional Solids In 59-61, name the figure In 62-65, give the number faces, edges, and vertices of each shape square pyramid 65. rectangular prism In 66-68, identify the 3-dimensional figure from its net In 69-70, draw the net for the stated figure. 69. A 4x4 fence post 70. A piece of apple pie

6 Surface Area Find the surface area of the figures given their nets in 4 in 9 yd 9 yd 4 in 4 in yd yd 9 yd 20 yd 22 yd 27 yd

7 Draw the net to find the surface area of each figure ft 85. A cookie company designed a new box for their chocolate chip cookies. Using the net below, find the surface area of the new box so the company knows how many square inches of cardboard are required for each package. 3 ft 8 in 3 ft 18 in 9 in yd 8 yd 11 yd 86. The net below represents a box created to ship clothing. The box below has a length of 7 in, a width of 5 in, and a height of 2 inches. Label the dimensions on the net below and find the total surface area of the box. 17 yd

8 Volume Find the volume of each figure: 95. A m x m x m rectangular prism 99. The length, width and height of one of the small cubes is m. Find the volume of the figure. 96. A cube with edges of ft 100. The length, width and height of one of the small cubes is ft.find the volume of the figure. 97. A box has volume of 24 ft 3 and a base of 2 ft by 4ft, what is its height? 98. cm 101.The length, width and height of one of the small cubes is mm. Find the volume of the figure. cm cm 102. The length, width and height of one of the small cubes is m. Find the volume of the figure.

9 Surface Area and Volume Application Problems 103. A birthday gift is placed inside the box shown. What is the minimum amount of wrapping paper needed to wrap this gift? 104. The inside of a refrigerator in a medical laboratory measures 17 in by 18 3/4 in by 42 4/5 in. How much space is inside the refrigerator? 105. If a gallon of water is about 215 sq in, approximately how many gallons of water can fit inside this bathtub? 106. This wafer is going to be completely dipped in chocolate. How many square cm need to be covered?

10 107. Blake is donating some outgrown clothes to charity. How many cubic feet of clothes will fit in the box? 108. Blake must wrap the box in packaging paper. How many square feet of paper will he need in order to wrap the box? 109. The Johnson family wants to paint their living room. This is a diagram of the room. If one gallon of paint will cover 32 square feet, how many gallons will they need in order to paint their room? 110. A candy company is designing the packaging for its new candy bar. The bars will be packed in cartons which are 1 foot long, 1 foot wide, and 1 foot high. How many of these cartons can they pack into the shipping crate which is 5 ft long, 12 ft wide, and 4 ft high?

11 Polygons in the Coordinate Plane 121. Plot the following points and connect them in the order given. Find the distance of each side. A (2,2) B (-3,2) C (-3,-2) D (2,-2) Plot the following points and connect them in the order given. Find the distance of side GH. G (2,2) H (2,-5) I (4,-5) Plot the following points and connect them in the order given. What would be the coordinate of a fourth point that would form a parallelogram? R (2,-2) S (-2,-2) T (0,-5)

12 Without plotting the points, find the distance of each side of the quadrilateral. W (-2,-2) X (-4,-2) Y (-4,-5) Z (-2,-5) 125. Without plotting the points, find the perimeter of the shape given its coordinates. A (2,-1) B (5,-1) C (5,-5) D (2,-5) 126. Without plotting the points, find the area of the shape given its coordinates. H (1,5) I (1,1) J (-5,1) K (-5,5) 127. On a map of Burlington County, the coordinates of some cities are listed below. What is the distance from Tabernacle to Southampton if each unit represents 3 miles? Tabernacle (-1,-1) Southampton (-1, 2) Medford Lakes (-3,0) Medford (-1,1) Lumberton (-3,3) 128. On a map of Burlington County, the coordinates of some cities are listed below. What is the distance from Medford Lakes to Lumberton if each unit represents 3 miles? Tabernacle (-1,-1) Southampton (-1, 2) Medford Lakes (-3,0) Medford (-1,1) Lumberton (-3,3) 129. Plot the following points in the order given. What is the area of the shape formed? D (1,1) E (4,5) F (-2,5) G (-5,1) Plot the following points in the order given. What is the area of the shape formed? P (-3,1) Q (-5,-4) R (-1,-4)

13 Geometry Unit Review Multiple Choice Questions 1. The name of the figure made of 6 congruent squares is a: a. Square Pyramid b. Cube c. Rectangular Pyramid d. Rectangular Prism 2. Name the figure represented by this net: a. Triangular Prism b. Triangular Pyramid c. Square Pyramid d. Cylinder 3. What is the surface area of the figure associated with this net? a. 352 cm 2 b. 451 cm 2 c. 559 cm 2 d cm 2 9 cm 23 cm 11 cm 9 cm 4. What is the area of a rectangle with a length of 19 cm and width of 6 cm? a. 114 cm b. 95 cm c. 95 cm 2 d. 114 cm 2 5. A square pyramid has base edges of 8 cm and a height of 15 cm, what is its surface area? a. 120 cm 2 b. 304 cm 2 c. 400 cm 2 d. 244 cm 2 6. Find the volume of the figure pictured to the right. a. cm 3 b. cm 2 c. cm 3 d. cm 2 7. What is the area of the figure pictured to the right? a. 72 cm 2 b. 98 cm 2 c. 42 cm 2 d. 36 cm 2 14 yd cm 6 yd cm 12 yd cm 8. A triangle has an area of 64 yd 2 and a base of 8, what is the height of the triangle? a. 8 yd b. 24 yd c. 16 yd d. 4 yd

14 17 yd 9. Find the area of the figure to the right. a. 344 cm 2 b. 172 cm 2 c. 112 cm 2 d. 301 cm 2 14 yd 8 yd 26 yd 14 yd 10. Find the height of the figure to the right. a. 9 cm 2 b. 70 cm c. 594 cm 2 d. 7 cm A=91cm 2? cm 13 cm 11. Rachel wants to tile her kitchen floor with tiles that are 1 ft 2. If her kitchen is 18 ft by 13 ft, how many tiles will she need? a. 117 b. 1,830 c. 234 d Find the area of the figure to the right. a. 204 m 2 b. 156 m 2 c. 120 m 2 d. 264 m Find the area of the shaded region to the right. a. 463 in 2 b. 271 in 2 c. 507 in 2 d. 335 in 2 16 m 8 m 6 m 8 m 9 m 8 m 16 cm 21 cm 8 cm 14. A triangle has an area of 48 m 2 which combination could be the base and height? a. 12 m; 6 m b. 4 m; 24 m c. 6 m; 8 m d. 12 m; 4 m 19 cm 15. When finding the area of a trapezoid, you first: a. Multiply the height by 2 b. Find the sum of the two slant heights c. Find the sum of the two bases d. Divide the slant height by Find the area of the shape graphed on the right. a. 15 units 2 b. 20 units 2 c. 10 units 2 d. 12 units

15 Geometry Unit Review Short Constructed Response Questions 1. Find the height of a parallelogram with an area of 180 m 2 and a base of 15 m. h = 2. To create privacy during testing, three windows that each measure 4 m by 2 m needs to be covered. The largest sheets of paper you have measure 2 m by 1.5 m. How many sheets of paper will it take to cover the window? 3. A diagram of a math classroom is below. How much carpet is needed to re-carpet the shaded portion of the floor? 16 ft 8 ft 8 ft 6 ft 9 ft 11 ft 4. Draw the net of a pentagonal prism.

16 5. Aiden walked the perimeter of his backyard by walking 16 m north, 13 m west, and arrived back at his starting point. What is the area of Aiden s backyard? 6. Which takes more cardboard to make: 2 boxes of 4x7x6 inches or 1 box of 9x12x11 inches? By how much extra cardboard? 7. In order to decorate for a party, you need to cover 3 rectangular tables with tablecloth. The tables measure 48 in by 60 in. If you want 4 inches overhang on each side, how many square inches of fabric would it take to cover all 3 tables? 8. To create privacy in your house, you want to buy drapes to cover your windows. Each set of windows is 72 tall and 60 wide. Each drape is 84 tall and 50 wide. If you have 4 sets of these windows in your house, how many drapes do you need to purchase? 9. Find the volume of the shape below if each small cube has a length, width and height of in.

17 Plot the following points in the order given. What is the area of the shape formed? D (2,-2) E (-2,-2) F (-4,-5) G (4,-5) Find the volume of the shape below. mm mm mm 12. Plot the following points and connect them in the order given. What would be the coordinate of a fourth point that would form a rhombus? R (-2,2) S (-3,4) T (-4,2) Without plotting the coordinates, what is the perimeter of the shape formed? H (2,-2) I (-2,-2) J (-2,-5) K (2,-5)

18 Geometry Unit Review Extended Constructed Response Questions 1. Your classroom walls are going to be covered with wallpaper. The walls are 120 inches high. The wallpaper costs $0.95 per square foot. Below is a diagram of the classroom. The white boxes represent windows. a. Calculate how many square feet of wallpaper you will need for the classroom. b. How much will it cost to complete this job? 25 ft 3 ft 8 ft 4 ft 5 ft 7 ft 3 ft 14 ft 2. Your parents have offered to pay you to paint the front of your house with two coats of paint. Paint currently costs $29.97 per gallon and each gallon will cover approximately 350 square feet. Below is a diagram of the front of your house. a. Calculate how many gallons of paint you need to buy. b. How much will it cost to complete this job? c. Your parents offer to pay you $500 to complete the job. How much money will you make if you need to pay for the paint yourself? 46 ft 7 ft 7 ft 7 ft 7 ft 7 ft 7 ft 7 ft 28 ft 10 ft

19 3. 3. An aquarium tank in the shape of a rectangular prism is 8.5 m long, 2 1/4 m wide, and 2 4/5 m high. a. How much water can the tank hold? b. If the top of the tank is open, how much tinting is needed to cover the glass on the tank? 4. Your parents have offered to pay you to fertilize your backyard. Fertilizer currently costs $8.75 for per container and will cover 500 square feet. Below is a diagram of your backyard. a. Calculate how many containers of fertilizer you need. b. How much will it cost to complete this job? c. Your parents offer to pay you $200 to complete the job. How much money will you make if you need to pay for the sod yourself? 7 ft 54 ft 35 ft 7 ft 14 ft 9 ft

20 Geometry: Chapter Questions 1. How is the formula for area of a parallelogram related to area of a rectangle? 2. How is the formula for area of a triangle related to area of a rectangle? 3. How do you find the area of irregular shapes? 4. How do you find the area of shaded regions? 5. How do you find the volume of a rectangular prism with fractional edge lengths? 6. How do you find the surface area of a 3-dimensional figure using its net? 7. How do you use coordinates to find the length of a side of a polygon?