Question

A rectangular swimming pool is 19 meters wide by 35 meters long. What is the length of the diagonal of

the pool? Round to the nearest tenth.

Answer 1

The diagonal of the pool is 39.8 meters long.

Explanation:

Since the pool has a rectangular shape it's diagonal forms a right triangle with the length and width of the pool, therefore we can use Pythagora's equation to calculate the length of the diagonal. This is shown below:

diagonal² = width² + length²

diagonal² = (19)² + (35)²

diagonal = sqrt(361 + 1225)

diagonal = sqrt(1586)

diagonal = 39.8 meters

The diagonal of the pool is 39.8 meters long.