Question

The length of a rectangular picture frame is 4 inches less than three times the width. The perimeter is 136 inches. Find the length and the width.

Answer 1

The width of the rectangle is 18 inches, and the length is 50 inches

Explanation:

We can designate a variable, x, to represent the width of the rectangle. To represent the length and widths of the rectangle, we can say that the length is 3x-4 and the width is just x. We can then write an equation for the perimeter and solve:

2(3x-4) + 2x = 136

6x - 8 + 2x = 136

8x - 8 = 136

8x = 144

x = 18

To calculate the length

(3x - 4)

3(18) - 4 = 50 in