Find the dimensions of a rectangle whose area is 180 cm^2 and whose perimeter is 54cm

Filipinacws 2022-08-08 Answered
Find the dimensions of a rectangle whose area is 180 cm^2 and whose perimeter is 54cm
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Answers (1)

Malcolm Good
Answered 2022-08-09 Author has 14 answers
let x = length
let y = width
A = xy = 180
P = 2x + 2y = 54
2x + 2y = 54
x + y = 28
y = 28-x
xy = 180
substitute
x(28 - x) = 180
-x2 + 28x = 180
x2 - 28x + 180 =0
(x - 10)(x - 18) = 0
x = 10, x = 18
the rectangle is 10 cm x 18 cm
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