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Nadya [2.5K]
3 years ago
8

I know the answer I just need a step by step explain. The answer is $1000

Mathematics
1 answer:
saveliy_v [14]3 years ago
6 0

sorry, I can help with this question but the question is cut off on the right, reply to me with the full question and id be happy to help :)

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The width of rectangle A is the sum of twice a number and 8. The length of the rectangle is 3 times as great as the width. If th
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Formula for perimeter of a rectangle = 2(L + W)
let the number be x
width = 2x + 8
length = 3(2x + 8)
substitute respectively
96 = 2 (2x + 8 + 3(2x + 8)) open the bracket
96 = 2 ( 2x + 8 + 6x + 24) collect like terms
96 = 2 (8x + 32) open the bracket
96 = 16x + 64
collect like terms
96 - 64 = 16x
32 = 16x
divide both sides by 16
32/16 = 16x/16
2 = x
therefore, the width = 2x + 8 = 2(2) + 8 = 4 + 8 = 12.
and the length = 3(2x + 8) = 6x + 24 = 6(2) + 24 = 12 + 24 = 36.
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Answer:

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