The rectangle is 5 m longer than wide and has an area of 24². What are the sides of this rectangle?

In order to find the sides of a rectangle, we use the formula for finding the area of a rectangle to compose and solve the equation.

So, the condition says that the length of the rectangle is 5 meters longer than the width, and it is also known that the area is 24 m2.

Let’s denote by x meters the width of the rectangle, then the length can be written as (x + 5) meters.

S = a * b;

Let’s make the equation:

x (x + 5) = 24;

x ^ 2 + 5x – 24 = 0;

D = b2 – 4ac = 25 – 4 * 1 * (-24) = 25 + 96 = 121;

x1 = (-5 + 11) / 2 = 6/2 = 3;

x2 = (-5 – 11) / 2 = -16/2 = -8 does not fit.

3 meters width of the rectangle, 3 + 5 = 8 meters length of the rectangle.