The length of a rectangle is 2 in longer than its width. if the perimeter of the rectangle is 44 in , find its area.

Mathematics · High School · Mon Jan 18 2021

llm

Answered on Sat May 07 2022

Let the width of rectangle be x

Then, Length of rectangle is (x +2 ) in

Perimeter = 44 in

We know, Perimeter = 2(l + w)

44 = 2(x + 2 + x)

44 = 2(2x + 2)

44 = 4x + 4

4x = 44 - 4

4x = 40

x = 40/4

x = 10

So, length = 10 + 2= 12

And width = 10

So, Area of rectangle = Length × width

Area = 12 × 10

= 120 in²