The length of a rectangle is 2 yd longer than its width.If the perimeter of the rectangle is 52 yd, find its length and width. length:ydwidth:yd

Respuesta :

Let w represent the width of the rectangle.

Given that the length of the rectangle is 2 yd longer than its width, it means that

length = w + 2

The formula for calculating the perimeter of the rectangle is expressed as

Perimeter = 2(length + width)

Given that the perimeter is 52, it means that

52 = 2(w + 2 + w) = 2(2w + 2)

52/2 = 2w + 2

26 = 2w + 2

2w = 26 - 2 = 24

w = 24/2 = 12

length = 12 + 2 = 14

Thus,

length = 14 yd

width = 12 yd