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andrew11 [14]
2 years ago
13

The length of a rectangle is 5times

Mathematics
1 answer:
liubo4ka [24]2 years ago
4 0

Answer:

Step-by-step explanation:

Formula Development

Let the width = w

Let the Length = 5*w

P = 72

P =2w + 2L

Area = 5w * w

Solution

<u><em>Start with th</em></u><u><em>e Perimeter. Solve for w</em></u>.

P = 2w + 2L                  Substitute the givens

72 = 2w + 2*5w            Combine

72 = 2w + 10w              Combine   Combine again

72 = 12 w                       Divide by 12

72/12 = 12w/12

w = 6

<u><em>Now for the area</em></u>

Area = 5w * w

w = 6

Area = 5*6*6

Answer: <u><em>Area = 180 cm^2</em></u>

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