The area of the rectangle is 108cm. Its length is 12cm more than the width. Find the width of the rectangle. Find its length.

To find the sides of the rectangle, enter the variables:

Let x be one side of the rectangle and y the other side.

Based on the conditions of the problem, we will compose and solve a system of two equations with two unknowns:

x = y + 12;

x * y = 108;

Substitute the expression for the variable x from the first equation into the second:

(y + 12) * y = 108;

y ^ 2 + 12 * y – 108 = 0;

D = 144 + 432 = 576;

y1 = (-12 – 24) / 2 = -18;

y2 = (-12 + 24) / 2 = 6;

x = 6 + 12 = 18 cm.

Answer: The length of the rectangle is 18 cm.