Question

The length of a rectangular sign is 5 times it’s width. If the sign’s perimeter is 36 inches, what is the sign’s area?

Answer 1

The area of sign is 45 in^2

Further explanation:

Let W be the width

and

L be the length

The according to given statements

$2L+2Y=36\\L=5W$

Putting L=5W in first equation

$2(5W)+2W=36\\10W+2W=36\\12W=36\\W=\frac{36}{12}\\W=3\ inches\\Putting\ W=3\ in\ second\ equation\\L=5W\\L=5(3)\\L=15\ inches\\Now,\\Area=L*W\\= 15*3\\=45\ in^2$

The area of sign is 45 in^2

Keywords: Area of rectangle, Perimeter of rectangle

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