The side length of a rectangle is 3x - 2 and the perimeter is 16x + 4. What is the width?

Answer 1

L = Length, W = Width, P = Perimeter

The formula for the perimeter of a rectangle is P = 2L x 2W. First we substitute the given perimeter, P = 16x + 4 into that equation, to get 16x + 4 = 2L x 2W. Next we substitute the given length, L = 3x - 2 into that equation to get 16x + 4 = 2 x (3x - 2) + 2W. Finally we solve for W,

16x + 4 - 2 x (3x - 2) = 2W

16x + 4 - 6x + 4 = 2W

10x + 8 = 2W

5x + 4 = W