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

1. Let’s denote one side of the rectangle through x m.

2. Determine the length of the second side of the rectangle:

1.5 * x = 1.5x m.

3. Let’s compose and solve the equation

x * 1.5x = 96;

1.5x ^ 2 = 96;

x ^ 2 = 96: 1.5;

x ^ 2 = 64;

x = 8 or -8.

-8 – does not meet the condition of the problem.

4. One side of the rectangle is x = 8 m.

5. How long is the second side of the rectangle?

1.5 * x = 1.5 * 8 = 12 m.

Answer: the sides of the rectangle are 8 m, 12 m.