One side of the rectangle is 3 cm larger than the other side. Find the lengths of its sides

One side of the rectangle is 3 cm larger than the other side. Find the lengths of its sides if it is known that the area of the rectangle is 1720 cm ^ 2

Let’s designate one side of the rectangle as x, then the second side will be equal to x + 3 cm. And their product will be equal to the area, which is equal to 1720 cm².

Let’s compose and solve the equation.

x * (x + 3) = 1720.

x² + 3 * x = 1720.

x² + 3 * x – 1720 = 0.

D = 9 + 6880 = 6889.

x1 = (-3 – 83) ÷ 2 = -43.

x2 = (-3 + 83) ÷ 2 = 40.

Answer: the sides of the rectangle are 43 cm and 40 cm.