One side of the rectangle is 1.5 times larger than the other. Find the sides of a rectangle if you know its area to be 96 m2.

Let one side of the rectangle be x, then the second side of the rectangle will be 1.5x. In order to find the area of a rectangle, you need to multiply the width by the length: S = a * b, where S is the area of the rectangle, a is the width of the rectangle, b is the length of the rectangle. Let’s write the equation:

x * 1.5x = 96;

1.5x ^ 2 = 96;

x ^ 2 = 96: 1.5;

x ^ 2 = 64;

x = 8 (m) – one side of the rectangle.

If one side of the rectangle is 8 m, then the other side will be 8 * 1.5 = 12 (m).

Answer: 8 m and 12 m sides of the rectangle.