One side of the rectangle is 3 cm larger than the other side.

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 cm2.

1. Let’s designate one of the sides of the rectangle “X”. Then the second will be “X + 3”. Formula for the area of a rectangle S = a * b. Knowing the area, we compose and solve the equation:

X * (X + 3) = 1720;

X ^ 2 + 3X – 1720 = 0;

D = 9 + 6880 = 6889;

X1 = (-3 + 83) / 2 = 40 (cm);

X2 = (-3 – 83) / 2 = -43 <0, does not satisfy the conditions of the problem.

2. Find the second side:

40 + 3 = 43 (cm).

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