One side of the rectangle is 2 cm larger than the other. Find these sides if the area of the rectangle is 120 cm ^ 2

To solve this problem, you must use the formula for finding the area of ​​a rectangle. From the course of mathematics, we know that the area of ​​a rectangle is equal to the product of its length and width. In this case, you can take the length of the width as the variable X. In this case, the length will be equal to (X + 2). To find the area, you need to multiply them. We get the expression (X * X + 2 * X). Let’s make the equation:

1) X ^ 2 + 2 * X = 120

X ^ 2 + 2 * X – 120 = 0

D = 4 + 480 = 484

X = 10 (centimeters) – the width of the rectangle

2) 10 + 2 = 12 (centimeters) – the length of the rectangle

Answer: 12 and 10 centimeters.