Question

The length of a rectangle is five times its width. If the permiteter of the rectangle is 72 m, find it’s area

Answer 1

Let's the width of the given rectangle be x. Then the length will be 5x.

We know that,

`\bf \implies Perimeter_(( Rectangle)) = 2 ( Length + Width)`

`\sf \implies 2( x+5x) = 72`

`\sf \implies 2* 6x = 72`

`\sf \implies 12x =72`

`\bf \implies x = 6`

Hence, the width of the rectangle is 6 m and the length is 5*6 =30 m

`\bf\implies Area_(( Rectangle) )= Length * Width`

`\bf \implies Area _(( Rectangle)) = 30 * 6`

`\bf \implies Area _(( Rectangle) )= 180 m^2`

Therefore, the area of the given rectangle is 180 metre square.