A rectangular garden has a perimeter of 48cm and an area of 140 sq. cm. what is the width of this garden

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Mathematics

31 March, 19:54

A rectangular garden has a perimeter of 48cm and an area of 140 sq. cm. what is the width of this garden

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Marisol Evans · Answer 1

A) 2L + 2W = 48

B) L * W = 140

B) W = 140 / L

Inputting this to equation A)

A) 2L + 2 * (140 / L) = 48

L + 140/L = 24

Multiplying both sides by "L"

L² + 140 = 24L

L² - 24L + 140 = 0

(L - 10) * (L-14) = 0

L = 10

L = 14

If length = 10 then width = 14

If length = 14 then width = 10