Question

The length in meters of an olympic-size swimming pool is twice the width. the perimeter is 100m more than the length. find the dimensions of the pool.

A. 25m, 50m
B. 75m, 150m
C. 50m, 100m
D. 100m, 200m

Answer 1

The width of the pool is approximately 16.67 meters and the length is approximately 33.33 meters.

Step-by-step explanation:

Let's assume that the width of the pool is x meters. According to the given information, the length is twice the width, so the length would be 2x meters.

The perimeter of a rectangle can be found by adding up all four sides. Since the perimeter is 100m more than the length, we can set up the equation:

2x + 2(2x) = 2x + 4x = 100 + 2x

Combining like terms, we get 6x = 100.

Dividing both sides by 6, we find that x = 16.67.

So, the width of the pool is approximately 16.67 meters and the length is twice the width, or approximately 33.33 meters.

Therefore, the dimensions of the pool are approximately 16.67 meters by 33.33 meters.