What are the sides of a rectangle if they are 4: 9, and its area is 144 m ^ 2?

1. Let’s denote one part by x.

2. Determine the smaller side of the rectangle:

4 * x = 4x m.

3. Find out the length of the larger side of the rectangle:

9 * x = 9x m.

4. Let’s compose and solve the equation:

4x * 9x = 144;

36×2 = 144;

x2 = 144: 36;

x2 = 4;

x = 2 or -2.

-2 – does not meet the condition of the problem.

5. One part is equal to x = 2.

6. What is the smaller side of the rectangle?

4 * 2 = 8 (m).

7. How long is the longer side of the rectangle?

9 * 2 = 18 (m).

Answer: the sides of the rectangle are 8 m, 18 m, 8 m, 18 m.