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

| January 10, 2021 | education

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

Let x denote the length of the bottom of this basin.
In the initial data for this task, it is reported that the length of the bottom of this pool is five times greater than the width of this bottom, therefore, the width of the bottom of this pool is x / 5 meters.
On the other hand, it is known that the width of the bottom of this basin is two hundred meters less than its length, therefore, we can draw up the following equation:
x = 200 + x / 5,
solving which, we get:
x – x / 5 = 200;
4x / 5 = 200;
x / 5 = 200/4;
x / 5 = 50;
x = 5 * 50 = 250 meters.
Find the bottom area of the given pool:
x * x / 5 = 250 * 250/5 = 250 * 50 = 12,500 m².
Answer: 12,500 m².



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