The perimeter of a rectangle is twice the sum of its length and its width. The perimeter is 28 meters and its length is 2 meters more than twice it’s width.What is it’s Length ?
Accepted Solution
A:
The perimeter of the rectangle =28 meters.Let the width be denoted as x,The length =2+2×(x)=2+2x(length is 2 meters more than twice the width)The formula for perimeter of a rectangle is :perimeter = 2× ( width + length )28=2×(x+2+2x)28=2×(3x+2)28=2×(3x)+2×(2)28=6x+46x=28−46x=24x=246The width x=4 meters.The lenght 2+2x=2+2×4=2+8=10 meters.