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25-09-2020
Mathematics

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A rectangular restaurant kitchen has a perimeter of 54 meters. Its area is 162 square meters. What are the dimensions of the kitchen?

Respuesta :

25-09-2020

Answer:

length = 18m

width = 9m

Step-by-step explanation:

a = lw

162 = lw

p = 2l + 2w

54 = 2l + 2w

27 = w + l

27 - w = l

162 = (27 - w)w

162 = -w² + 27w

-162 = w² - 27w

0 = w² - 27w + 162

0 = (w - 9)(w - 18)

9 = width

18 = length

a = (18)(9)

a = 162

27 = 18 + 9

27 = 27

Thus proves our answer.

Best of luck!

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