What is true of the base and height of a parallelogram? What is the base of a parallelogram whose height is 4 cm and whose area is 44 cm2? Homework Find the area of each figure. The length of a rectangle is 17 m and the width is 6 m. What is its area? How do you find the area of a rectangle? How do you find the area of a parallelogram?
Answer Key Yes 48° 27° 18° Yes 65° 128° 108° Yes Complement = 22°, Supplement = 112° Multiple answers for the reasons. Some examples: 2 = 65° since it's vertical to a 65° angle and vertical angles are congruent 3 = 115° since it's supplemental to 2 and to the 65° angle 4 = 115° since it's vertical to 3 or supplemental to 2 Multiple answers for the reasons. Some examples: 1 = 37° since it's an alternate exterior angle to 5 and alternate exterior angles are congruent 2 = 143° since it's supplemental to 1 3 = 37° since it's vertical to ∠5 4 = 143° since it's supplemental to ∠3 and 5 or since it corresponds to ∠2 6 = 143° since it's vertical to ∠4 or since it's an alternate interior angle to ∠2 ∠7 = 37° since it's vertical to ∠1 or since it's an alternate interior angle to ∠3 ∠8=143° since it's vertical to ∠2 or an alternate exterior angle to ∠4 or corresponds to ∠6 No; not congruent 64° 72° 81° No, they are supplementary 83° 70° 171°
No, they are complementary Complement = 6°, Supplement = 96° Multiple answers for the reasons. Some examples: ∠2 = 40° since it's vertical to a 40° angle and vertical angles are congruent ∠3 = 140° since it's the supplement of ∠2 ∠1 = 140° since it's vertical to ∠3 or supplement of the 40° angle Multiple answers for the reasons. Some examples: ∠1 = 68° since it's an alternate exterior angle to ∠5 ∠2 = 112° since it's supplemental to ∠1 ∠3 = 68° since it's vertical to ∠5 or corresponds to ∠1 ∠4 = 112° since it's supplemental to ∠3 and ∠5 ∠6 = 112° since it's supplemental to ∠5 or vertical to ∠4 or an alternate interior angle to ∠2 ∠7 = 68° since it's vertical to ∠1 or an alternate interior angle to ∠3 ∠8 = 112° since it's vertical to ∠2 or an alternate exterior angle to ∠4 10 m 16 ft 16 in 24 m 31.4 cm 14.444m 25.12 m 77.244 cm 15 m m cm m cm 42 cm 100 m 18 ft 64 m 21.98 m 200.96 in 100.48 in 25.12 ft 2.1 cm m in. m ft 24 cm² 121 m² 84 in² 108 m² 80 cm² 30 in² Area of a rectangle = length x width Area of a parallelogram = base x height The base and height always form a right angle 11 cm 28 cm² 81 m² 50 in² 91 m² 143 cm² 102 m² Area of a rectangle = length x width Area of a parallelogram = base x height The base and height always form a right angle 9 cm 60 ft² 78 m² 30 in² 84 in² 195 m² 5 in 90 ft² 91 m² 56 in² 105 in² 135 m² 10 in 314 m² 379.94 in² 78.5 m² 153.86 cm² 200.96 yd² Area of a circle = π x radius² cm2 in2 m2 cm2 yd2 254.34 m² 254.34 in² 50.24 m² 78.5 in² 153.86 m² Divide the diameter by 2 to find the radius. Then, area of a circle = π x radius² cm2 in2 m2 in2 m2 10,500 units² 14,300 units² 88 cm² 85 mm² 12,200 units² 15,650 units²
238.3125 in² 58 ft² 28.26 in² 43 units² 40 ft² 42.14 cm² 43 units² 96 m² Unit Review Answers F, C, B, A, D, E A A C C B, C, and F 12 24 yd. 27 5.5 in. 144 tiles 44 20 8 cm 8 in 6.96 in 9120 in2 2 No, Joe is not correct. Since 2 sides of the shed need to have siding installed, the total area is 240 ft2, which is twice Joe’s answer. He didn’t multiply by 2. A. 448 ft2 B. 394 ft2 C. $4728 A. $156 B. Answers will vary C. Answers will vary A. 864 ft. B. 192 ft. C.$4,032 A. 80 ft2 B. 57.57 ft2 C. 2 bags