A rectangular school yard has a perimeter of 294 meters. Its area is 5,162 square meters. What are the dimensions of the school

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1 year ago

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yard?

1 answer:

Feliz [49] · Answer 1 · 2023-04-05T15:43:39+03:00

The dimensions of the school yard is 58 m and 89 m.

<h3>What is rectangle ?</h3>

A rectangle is a polygon with four sides , It has opposite sides parallel and equal.

It is given that

A rectangular school yard has a perimeter of 294 meters

Perimeter of a rectangle is given by

P = 2(Length +Breadth)

294 = 2( L+B)

147 = L+B

Area of a rectangle is given by

L*B = 5162

B = 5162/L

L + 5162/L =147

L² -147L +5162 = 0

L² -58L - 89L+5162 = 0

L(L-58) -89(L-58)

L = 58 , 89

The dimensions of the school yard is 58 m and 89 m.

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