One side of a rectangle is 3 inches shorter than the other side, and the perimeter is 54 inches. What are the dimensions of the rectangle?

Mar 3, 2016

$12 \times 15$ inches

Explanation:

Suppose the shorter sides of the rectangle are $t$ inches. Then the longer sides are $t + 3$ inches and the perimeter is:

$2 t + 2 \left(t + 3\right) = 4 t + 6$

So:

$4 t + 6 = 54$

Subtract $6$ from both sides to get:

$4 t = 48$

Divide both sides by $4$ to get:

$t = 12$

So the shorter sides of the rectangle are $12$ inches and the longer sides $12 + 3 = 15$ inches.