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Look at the picture and please explain the process to get the answer

Look at the picture and please explain the process to get the answer-example-1

2 Answers

1 vote
W+L=9.6a-12.2b
BCD is match
Look at the picture and please explain the process to get the answer-example-1
User Pradeep Kashyap
by
7.9k points
7 votes

Answer:

B, C

Explanation:

perimeter of polygon = sum of lengths of sides of the polygon

A rectangle is a polygon that has 4 sides. Each 2 opposite sides are congruent. Perimeter = L + L + W + W = 2(L + W).

For a rectangle,

perimeter = 2(L + W)

perimeter = 19.2a - 24.4b

Choice A.

L = -9.3b - 10.2a

W = 18.9b - 4.1a

perimeter = 2(L + W)

perimeter = 2(-9.3b - 10.2a) + 2(18.9b - 4.1a)

perimeter = -18.6b - 20.4a + 37.8b - 8.2a

perimeter = 19.2b - 28.6a

perimeter = -28.6a + 19.2b

We need: perimeter = 19.2a - 24.4b

Choice A is not an answer.

Choice B.

L = 15.8a - 13.7b

W = 1.5b - 6.2a

perimeter = 2(L + W)

perimeter = 2(15.8a - 13.7b) + 2(1.5b - 6.2a)

perimeter = 31.6a - 27.4b + 3b - 12.4a

perimeter = 19.2a - 24.4b

We need: perimeter = 19.2a - 24.4b

Choice B is an answer.

Choice C.

L = 10.9b - 4.1a

W = 13.7a - 23.1b

perimeter = 2(L + W)

perimeter = 2(10.9b - 4.1a) + 2(13.7a - 23.1b)

perimeter = 21.8b - 8.2a + 27.4a - 46.2b

perimeter = 19.2a - 24.4b

We need: perimeter = 19.2a - 24.4b

Choice C is an answer.

Choice D.

L = 7.4a - 18.2b

W = 6b + 2.2a

perimeter = 2(L + W)

perimeter = 2(7.4a - 18.2b) + 2(6b + 2.2a)

perimeter = 14.8a - 36.4b + 12b + 4.4a

perimeter = 26.8a - 32b

We need: perimeter = 19.2a - 24.4b

Choice D is not an answer.

User Ozarov
by
8.3k points

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