One side of the rectangle is 2 cm larger than the other side. Find the sides of a rectangle if its area is 120 cm2

We denote the width of the rectangle by the letter x, then the length, by condition, will be (x + 2), since the area of the rectangle is the length multiplied by the width and by condition is equal to 120 cm2, we get:

x * (x + 2) = 120.

x ^ 2 + 2x = 120.

x ^ 2 + 2x – 120 = 0.

We solve the quadratic equation and get two roots: x = 10 and x = -12, since the length of the side cannot be negative

we take x = 10 cm, therefore two sides are 10 cm long, the other two are 12 cm long, respectively.