One side of the rectangle is larger than the second by 1.5. Find the sides of the rectangle

One side of the rectangle is larger than the second by 1.5. Find the sides of the rectangle if you know that its area is 96 m2.

It is known from the condition that one side of the rectangle is 1.5 times larger than the second. In order to find the sides of a rectangle, if it is known that its area is 96 m2, we compose and solve the equation.

Let’s use the variable x meters to denote one of the sides of the rectangle, then the length of the second side of the rectangle will be written as 1.5x meters.

We search for the area of the rectangle using the following formula:

S = a * b;

x * 1.5x = 96;

1.5x ^ 2 = 96;

x ^ 2 = 96: 1.5;

x ^ 2 = 64.

x1 = 8;

x2 = -8.

The second root does not fit. So, one side of the rectangle is 8 cm, and the other is 8 * 1.5 = 12 cm.