Question

The diagonal of a rectangular swimming pool measures 29 yards. If the length of the pool is 25 yards, which measurement is closest to the width of the pool?​

Answer 1

Width of the pool = 15 yards

Explanation:

Given that:

Length of diagonal of swimming pool = 29 yards

Length of the pool = 25 yards

Let,

w be the width.

This will form a right angled triangle where the diagonal will be hypotenuse.

Using Pythagorean theorem;

`(25)^2+(w)^2 = (29)^2\\625+w^2=841\\w^2= 841 - 625\\w^2 = 216`

Taking square root on both sides

`√(w^2)=√(216)\\w=14.70`

Rounding off to nearest whole number

w = 15 yards

Hence,

Width of the pool = 15 yards