Question

The length of a rectangle is 11 feet less than three times the width. The perimeter of the rectangle is 154 feet. Find the dimensions of the rectangle.

Answer 1

The dimensions of the rectangle are 22 and 55 feet

Explanation:

We can set the Width to be X and the Length to be 3x-11 since it is 11 less than 3 times the width.

the perimeter is 2 widths plus 2 lengths so x + x + 3x-11 + 3x-11 or 8x -22
since the perimeter is also 154, we get that 8x-22 = 154, we can add 22 to both sides and get that 8x = 176 if we divide both sides by 8 we get that X or the width is 22 and since the length is 3 times the width minus 11 it is

66-11 or 55.