Question

The width of a rectangle is 2 inches less than its length. If the perimeter of the rectangle is 96 inches, what is its width?

Answer 1

Explanation:

a) Perimeter of a rectangle = 2 *(L +w)

b) w = L - 2

Answer: B

c) Perimeter = 96 inches

2* (l +w) = 96

2*( L + L - 2 ) = 96 {Combine like terms}

2 * (2L - 2) = 96 {use distributive law}

2*2L - 2*2 = 96

4L - 4 = 96 {Add 4 to both sides}

4L = 96 +4

4L = 100 {divide both sides by 4}

4L/4 = 100/4

L = 25 inches

d) w = L - 2

= 25 - 2

w = 23 inches