Areas of Rectangles, Parallelograms, Triangles and Rhombuses

NAME DATE Areas of Rectangles, Parallelograms, Triangles, and Rhombuses Find the area of each figure. 1. 2. 11 in 21 in. 5. 11 cm 18 cm 113 cm- SCORE For use after Section 11-2 3. 8 in. h 20 in. A= underline 160. x ^ 2 6. 10 mm 23 mm <84-124 7. Find the height of a rectangle with base 12 em and area 84c * m ^ 2 70 8. Find the base of a parallelogram with height 5 in. and area 95in .^ 2 19ia - 95 = 6.5 9. Find the area of an isosceles triangle with base 8 and perimeter 20. pm sqrt 5 leftarrow 1/2 * (1)(2sqrt(5)) 10. Find the area of an equilateral triangle with perimeter 24. leftarrow 1/2 * (3)(4sqrt(3)) 6 14sqrt(3) 11. Find the area of a square whose perimeter is 80 cm. 400cm² E 20 26 12. If the base of a parallelogram is x + 5 and the height is x - 5 express the area in terms of x. x ^ 2 - 25 A=( x + 5X(x - 5) 13. The area of a rectangle is 300 c * m ^ 2 Find the length and width if the ratio of length to width length = 20 cm, width= 15cm (12)(14) 14. Find the area of a rhombus 12 and 16. 9 4(t) * j(t) h = 2sqrt(5) h ^ 2 = 10 4 ^ 2 + 4 ^ 2 = 6 ^ 2 4x- JK = 300 11*^ 1 = 100 x ^ 2 = 25 12m ^ (x = 5) 8 4-6040 A = 100m ^ 2 5(3) Was 5m 15. How much will it cost to blacktop the driveway shown if blacktopping costs $10 per square meter? 1000 E - iso(10) 16. Find the area of a rhombus with a 45 deg angle and sides of 10 ft. L 502 ft² 10 m 10 10 45 55 A = 10(5sqrt(2)) Ex. 15 8 m A = 231 * 7a ^ 2 A = 72mi * s ^ 3 A = 115 * m_{2m} ^ 3 9sqrt(2) * mm 4sqrt(2) * mm r(tr) = 60m ^ 2 9sqrt(3) * cm A = 99cm 8sqrt(3) * cm A = 264Cm sqrt(3) NAME DATE 11-2 Areas of Parallelograms, Triangles, and Rhombuses 30 17 30 A = 1/2 * (2V)(6sqrt(n)) 12) 18 8 Solve. C(7) = 42cm 1. Find the area of a parallelogram with base 6 cm and corresponding height 7 cm. Find the area of each parallelogram. 3. 12 A = n(n) 8 6 Find the area of each figure. 7. A = 1/2 * (10)(10sqrt(10)) 8. 5 A = 1/2 * (5)(4) = underline 10 cosh^ 2 12 A=48 A = 4 6sqrt(2) * 10sqrt(2) = 60 * 3 2. Find the area of a parallelogram with base 6sqrt(2) and corresponding height 10 sqrt 2. 5. 10/ 60 6. 6V2 9. 5 15 658 20 1525 45 A = 6(6sqrt(2)) A = 36sqrt(2) * mo * h ^ 2 A = 1/2 * (2 + gamma)(7) A = (f ^ 4)% A = 100 A = 1/2 * (20)(1r ^ 2) 150+84 A = 234w - 4h 13 72sqrt(21) 11. Find the area of an isosceles triangle with sides 30, 30, 24 7 12 10. 5 -18- A = 1/L * Gamma(r, n) 365 36sqrt(3) 12. Find the area of an isosceles triangle with base 16 and perimeter 52. 13. Find the area of an equilateral triangle with sides 12 cm. 14. Find the area of an equilateral triangle with height 6sqrt(3) 13.) 12 the area of each rhombus 15. The area of a rhombus equals half the product of its dingonals. 14) 12 10 A = 3/2 * (12)(w * sqrt(3)) A = 1/2 * (24)(14) ¥240 16. 4=240 A = 1/2 * (16)(30) 17 17. 18. 135 45 60 1 45 A > 10(14sqrt(2)) A = 100sqrt(1) 19. of a rhombus with diagonals 8 m and 4 = 32sqrt(3) 20. Find the area of a rhombus with perimeter 52 and one diagonal 10. 21. Find the area of a rhombus with perimeter 100 and one diagonal 14. 140 (5.) (s)(20) 20) 13/ 180 Copyright by Houghton Mifflia Company. All rights reserved. 25 STUDY GUIDE for GEOMETRY 13 13 13 21./29/29- 25 A = 1/2 * d_{1}*d_{2} mu = - r * (r * sqrt(2)) A = 75sqrt(3) * w * U ^ 3 A = 63u - h ^ 2 A=\ (1y)(7) cos 4 = plus/minus 5 A = 30w - h h = sqrt(240) 52/4 > A = 1/2 * (v)(sqrt(2)) mu_{1} = L * sqrt(165) l_{t} = sqrt(7pi) 16sqrt(65) h = 4sqrt(24) = 120con * 41 ^ 2 A = 1/2 * (n)(b * sqrt(1)) 10sqrt(2)