Question

The length of a rectangle is 6 yards longer than it’s width if the perimeter of the rectangle is 40 yd, find its area

Answer 1

91 yd2

Step-by-step explanation

First you find the side lengths which are 13 and 7 then multiple them

Answer 2

Area of the rectangle is
`91 square yards`

Explanation:

Let, the width of the rectangle be
`'W'`

So, the length of the rectangle =
`W+6`

Perimeter of the rectangle= 40 yards

Perimeter of a rectangle= 2(Length+Width)

`40=2(W+6+W)\\ 40= 4W+12\\ 4W=40-12\\ W=28/4\\ W=7`

`Length= 7+6=13`

Area of a rectangle=

`Length* Width\\ =13*7\\ = 91 square yards`

So the area of the rectangle is
`91 square yards`