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

Question

asked May 18, 2024 45.7k views

1 Answer

Robert Gummesson · Answer 1 · 2024-05-23T15:31:03+0000

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.