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

Filipinacws

Filipinacws

Answered question

2022-08-08

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

Answer & Explanation

Malcolm Good

Malcolm Good

Beginner2022-08-09Added 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

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Elementary geometry

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?