The length of the rectangle is 5/6 of its width. Find the side of the rectangle if its area is 120cm2.

Let the width of the rectangle be (x) cm, then the length is (5/6 * x) cm.The area of the rectangle is x * (5/6 * x) cm ^ 2 or 120 cm ^ 2. Let’s make an equation and solve it.
x * (5/6 * x) = 120;
5/6 * x ^ 2 = 120;
x ^ 2 = 120: 5/6;
x ^ 2 = 120 * 6/5;
x ^ 2 = 144;
x = 12 (cm) – width.
5/6 * x = 12 * 5/6 = 10 (cm) – length.
Answer. Length 10 cm, width 12 cm.