# The length of the rectangle is 3 cm longer than the width and its area is 54 cm ^ 2, find the sides of the rectangle.

March 25, 2021 | education

| Let’s denote by x cm – the width of the rectangle. Therefore, its length is (x + 3) cm.

The area of a rectangle is found as the product of its length and width. Let’s make an equation and find the required sides of the rectangle:

x * (x + 3) = 54;

x2 + 3 * x – 54 = 0;

x1 = -9 – does not fit, since this root is negative;

x2 = 6 cm – the width of the rectangle.

Let’s find its length: 6 + 3 = 9 cm.

Answer: 9 cm and 6 cm.