Ch. 11 Worksheet #3 1) Find the area of the trapezoid. 2) Find the area (BC). 8 30 C 12 2 B 4 3) Given: rea (BCE) = 78 sq. units, Find the length of C E 135 C 5 2 5 2 B 4) Given: Parallelogram BC; M, N are midpoints. rea (BC) = 120 sq. feet. Find the area of. N C M B
Ch. 11 Worksheet #4 1) Find the area of BC. 2) Given: rea of Figure = rea of an equilateral with side = 2 11. x = 5 C x 0 B 45 2 3 7.5 3) rea () = 2 rea () 4) rea of Rectangle = 48 sq. in rea = rea () = 8 5) rea () = 4 rea () = 7 rea () =
Ch. 11 Worksheet #5 1) Given: rea Square BC = 12 sq. in E & F Trisect G rea EF= E F B G C 2) rea of Figure = 10 0 10 3 3 3 4 3) Find area of given figure in terms of a, b, & c. c a b
4) Given: semi-circle with a radius R rea of semi-circle rea of square 5) rea of BE = 1 sq. units B rea of BCE = C 45 45 0 0 E ) Given: BC is a parallelogram M, N are midpoints P, Q are trisection points rea BC = 24 rea (MPNQ) = M C P Q N B
Ch. 11 Worksheet # 1) rea () = 12 2) Find rea of Shaded Region rea () = 4 8 3 8 8 8 3) Given Square CB and circle. 4) Given is the center of arc, B = 3 rea of Shaded Region = Find rea of Shaded Region. C 5 3 B B
Ch. 11 Worksheet #7 1) Given: C-median, CB-diameter 2) Find rea of Shaded Region B = C-radius of circle Shaded rea = 5 C 3 B 0 0 3) Find rea of Shaded Region 4) rea () rea () 2 150 2 5) regular hexagon and a square have perimeters in the ratio of 3 to 2. (H to Sq.) Find the Ratio of reas
Ch. 11 Worksheet #8 1) 2) B 5 x 3 x x C rea = 42 rea = rea of BC = 180 sq. in rea = rea = rea = 3) R, RC are radii 4) B = C = BC = 8 Find the area of the shaded region. Find total area = O C 8 120 R B C 5) Radius = rea of BC = 0 B 90 90 C 120
Ch. 11 Worksheet #9 1) 8 Find the ratio of the areas of the inscribed and circumscribed circles. 8 8 8 2) rea = 8 3) O is the center of the circle. Find the area of the shaded region O
Ch. 11 Worksheet #10 1) 2) square and an equilateral triangle have L equal perimeters. Find the ratio of their areas. E B Z Square ELZ has an area of 25 B has an area of 200 m B = 90, = x Find LB (in terms of x) = Ratio of areas 3) 45 4) N a c 12 2 45 120 L T B 27 Find the area in terms of a, b and c rea of NTL 5. Two regular pentagons have areas of 50 and 100 sq. inches. Find the ratio of the lengths of a pair of corresponding sides. 5.. The area of one n-gon is 4 25 times that of a similar n-gon. Find the ratio of the perimeters of the two n-gons.. 7. One side of a triangle is 15 in. long and the area is 90 sq. in. Find the area of a similar triangle in which the corresponding side is 9 in. long. 7.
8. Point E, L and V are the midpoints of the sides of NT. What is the ratio of the area of ELV to the area of NT? 8. 9. The shortest side of a polygon of area 19 sq. cm. is 4 cm. long. Find the area of a similar polygon whose shortest side is 8 cm. long. 9. 10. The sides of a quadrilateral are 3 in., 4 in., 5 in., and in. long. Find the lengths of the sides of a similar quadrilateral whose area is 9 times as great. 10. 11. Two similar polygons have corresponding sides with lengths in the ratio 2:3. The sum of the areas of the polygons is 143 sq. in. Find the area of each. 11. 12. The shortest side of two similar polygons have lengths of 5 ft. and 12 ft. Find the length of the shortest side of a similar polygon whose area equals the sum of the areas of the two given polygons. 12. 13. Given: a circle with r =. Find the ratio of the areas of its inscribed and circumscribed equilateral triangles. 13. 14. Two regular hexagons have apothems in the ratio 2:3. The difference of the areas of the hexagons is 245 sq. in. Find the area of each hexagon. 14. 15. One regular hexagon is inscribed in, and another is circumscribed about, a circle with radius k. What is the ratio of the areas of the hexagon? 15. 1. One of two similar polygons has an area 25% more than the other. What is the ratio of the perimeters? 1.
Ch. 11 Worksheet #11 1) n equilateral triangle and a regular hexagon ( ) 2) Find ( ) have equal perimeters. Find the ratio of the areas. 3 5 13 13 4 10 1) 2) 3) 4) 4 5 3) ( ) ( ) 9 Given: 1 hexagon is inscribed to the circle, the other is circumscribed = 4) a) Find the ratio of the hexagons b) f the sum of the areas of the 2 hexagons is 3 5, find the radius of the circle. r = 5) 2 similar triangles have areas 100 and 25. ) The larger triangle has a side of 4. T R a) Find the corresponding side of the small triangle: M b) Find an altitude of the smaller triangle TRM is a square inscribed in a semicircle with radius r. How does its area compare with that of a square inscribed in the whole circle?
7) f you increase the length of the base of a rectangle by 30% and decrease the height by 10%, what happens to the area of the rectangle? 8) What happens to the area of a rectangle if you decrease the length of the base by 25% and increase the height by 25%? 9) f you increase the height of a rectangle by 20%, how would you need to change the base of the rectangle in order to keep the same area? 10) By what percent would you need to increase the height of a rectangle in order to triple the area if you are decreasing the length of the base by 25%? 11) What is the ratio of the area of triangle to the area of triangle B if the base of triangle is feet long and the base of triangle B is 45 inches long and the two triangles have equal heights? 12) parallelogram has sides measuring 8 and 11 and has an included angle of 45. n equilateral triangle has a perimeter of 24. What is the ratio of the area of the parallelogram to the area of the triangle? nswers: 1. 3:2 7. ncreases by 17% 2. 1:10 8. ecreases by.25% 3. 4:9 9. ecrease by 1 2/3% 4. a. 4:3 b. 4 10. ncreases by 300% 5. a. 2 b. 25 11. 8:5. 2:5 12. 11 2 : 4 3