The bottom of the pool is rectangular. Its width is 5 times less than its length. What is the area of the pool

The bottom of the pool is rectangular. Its width is 5 times less than its length. What is the area of the pool bottom if it is 40 m longer than the width?

Let’s take the width of the pool bottom as x meters, then the length of the pool bottom will be 5 x meters. The length of the pool is more than its width by (5 x – x) meters, which, according to the problem, is equal to 40 meters. Let’s make an equation and find the width of the pool bottom:
1) 5 x – x = 40;
4 x = 40;
x = 40/4
x = 10 (meters) – the width of the pool bottom.
Next, let’s find its length:
2) 10 * 5 = 50 (meters) – the length of the pool.
You can also find the length by writing it like this: 10 + 40 = 50 meters.
Now, using the formula, we find the area of the bottom of the pool:
3) 10 * 50 = 500 (m2)
Answer: 500 square meters.