A rectangle has an area of 36 square inches and a perimeter of 30 inches. Find the dimensions of the rectangle.

3 inches by 12 inches

Step-by-step explanation:

Length = L

Width = W

LW = 36

L = 36/W

2 (L + W) = 30

2 (36/W + W) = 30

36/W + W = 15

36 + W² = 15W

W² - 15W + 36 = 0

(W - 3) (W - 12) = 0

W = 3 or W = 12

Therefore the dimension is 3 inches and 12 inches.