The perimeter of a rectangle is 36 inches. The length is 2 inches greater than three times the width. What is the length of the rectangle?

length=14 Inches

Width = 4 inches

Step-by-step explanation:

Perimeter of Rectangle = 2 (l+w)

2 (l+w) = 36 (Equation 1)

The length is 2 inches greater than three times the width

l=2+3w (Equation 2)

Putting value of l from equation 2 in equation 1

2 (2+3w+w) = 36

2 (2+4w) = 36

4+8w=36

8w=32

w=32/8

w=4 Inches

Putting value of w in equation 2

l=2 + (3*4)

l=14 Inches