# One side of the rectangle is 2m larger than the other side. The area of the rectangle is 80m2. Find the sides of the rectangle.

March 29, 2021 | education

| It is known from the condition that one side of the rectangle is 2 m larger than the other side. And the area of the rectangle is 80 m2. In order to find the sides of the rectangle, we compose and solve the equation.

Let us denote by the variable x the length of one of the sides, then the other side can be written as (x + 2). Let’s remember the formula for finding the area of a rectangle.

S = a * b;

Substitute and solve the equation:

x (x + 2) = 80;

x ^ 2 + 2x – 80 = 0;

D = 4 + 320 = 324;

x1 = (-2 + 18) / 2 = 16/2 = 8;

x2 = (-2 – 18) / 2 = -20/2 = -10 the second root does not match.

One side of the rectangle is 8 cm, and the other is 8 + 2 = 10 cm.

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