The length of the bottom of the rectangular pool is 5 times its width, and the width is 200m

The length of the bottom of the rectangular pool is 5 times its width, and the width is 200m less than the length. Find the area of the pool bottom.

The solution of the problem:

1. Let us denote by the variable x the width of the rectangular pool:

2. Then the length of this pool will be 5 meters.

3. Knowing that the width of a rectangular pool is more than its length by 200 meters, we will compose an equation and find the length and width of the pool:

5x – x = 200;

4x = 200;

x = 50;

5x = 50 * 5 = 250.

4. Determine the area of the bottom of the pool, knowing that the area of the rectangle is equal to the product of its length and width:

50 * 250 = 1250.

Answer: The bottom area of the pool is 1250 m2.