Question

the length of a rectangle is 4 unit less than the width. which expression represents the perimeter of the rectangle

Answer 1

Length: 11

Width: 5

Explanation:

Let W = width

Let L = length

Length is 4 less than 3 times the width ==> L = 3*W - 4

Let P = Perimeter = 2*W + 2*L

Perimeter is 22 more than twice the width ==> P = 2*W + 22

Setting the 2 expressions for the perimeter equal to each other gives

2*W + 2*L = 2*W + 22

2*L = 22

L = 11

So 11 = 3*W - 4

3*W = 15

W = 5

The length is 11 and the width is 5

Check: 3*W - 4 = 11 = Length

Perimeter = 32 = 22 more than 2*5 = 10