Name: Block: 8a. Find the perimeter and the area of polygons. 1. Find both the perimeter and the area 2. Find both the perimeter and the area of parallelogram QRST. (Don t forget UNITS!) of rectangle JKLM. (Don t forget UNITS!) R 54 in S K 5890 ft ft L 53 in 40 in Q T 3940 ft ft J M 3. Find the perimeter and the area of isosceles 4. Find the perimeter and the area of kite RSTU. trapezoid ABCD. (Don t forget UNITS!) (Don t forget UNITS!) B 18 m C S 8 m 6 m R 3 in. 6 in. 10 in. T A 24 m D 6.7 in U 3 in. 10.4 in 5. Find the area of the regular hexagon if the length of one side is 5 in. S T R U 3.9 in. W V
8b. Find the perimeter and area of composite shapes. 1. Find the area of the composite figure. 2. Find the area of the composite figure. 16 cm 18 in 23 cm 17 cm 10 in 36 cm 3. What is the perimeter of the figure below? 4. What is the area of the figure below? A B E F 1 C J 16 ft 16 ft D I 1 L K H G 5. Find the area for the composite figure below. The hexagon is regular and the trapezoid is isosceles. 13 m 6.4 m 8 m 10 m 20 m 45 m
8c. Given the perimeter or area of a figure, solve back to find an unknown dimension of the figure. 1. Find the length of rectangle BCDA if its area is 195 cm 2. 2. A circle has a circumference of 34.54 cm. What is the diameter of the circle? B C 13 cm A D 3. Find the length of base b for the given trapezoid if its 4. The area of a circle is 64π ft 2. Find the circumference. area is 324 cm 2. h = 18 cm a = 16 cm b = 5. The area of a regular polygon is 259.2 m 2. It has a side length of 8 m and an apothem of 7.2 m. Find the number of sides on the polygon.
8d. Use areas of polygons to represent real-world situations and use them to solve problems. 1. A round tablecloth has a circumference of 40 ft. 2. RV is building a new running track. They want to Will the cloth be large enough to cover a round table plant grass to cover the space inside the track. If one with an area of 80 square feet? bag of grass seed contains enough seed for 200 yds 2 of ground, how many bags should RV buy? 50 yd 100 yd 3. A rectangular piece of fabric measures 47 by 46 inches. 4. The rectangular floor in Mark s living room is 13 A triangular scarf with a height of 28 inches and a base feet by 18 feet. A rectangular rug is placed in the of 30 inches is cut from the fabric. How much fabric is middle of the room. What is the area of the rug? left over? (HINT: Draw a diagram.) 1 11 ft 18 16 ft 5. Jennifer wants to fertilize the lawn. Her house and driveway are rectangular in shape and her gazebo is a regular octagon. Each bag of fertilizer will cover 125 ft 2. How many bags will she need to cover only the grass in the yard? 4 6 ft 4 160 ft Gazebo 7.6 ft 6 House 8 ft Driveway 68 ft 8 ft 250 ft
8e. Find the circumference and area of circles and parts of circles. 1. Find the exact circumference and exact area of 2. Approximate area of shaded region = a circle with a diameter of 6 cm. (Leave pi in your answer!) Circumference: 8 cm 8 cm 3. Exact area of shaded region = 4. Exact area of shaded annulus = 34 6 cm 2 cm 5. Approximate area of shaded sector = 6 in.
8f. Understand the terminology and find the surface area of 3-dimensional figures. 1. Find the surface area of this rectangular prism. 2. Find the surface area of the square pyramid. 9 ft 7 cm 14 cm 11 cm 7 ft 7 ft 3. Find the surface area of the cone. 4. Find the total surface area of the trapezoidal prism. Round to the nearest tenth. Measurements are in meters. 6.5 10 cm 8 5.5 6 cm 19 9 5. Find the total surface area of the cyli-cone. Round to the nearest tenth. 13 cm 14 cm