Question

You measure the sides of a pool and find that it is 20 yards wide and 50 yards long. Approximately, how far would it be diagonally between corners of the pool?

A. 54 yards
B. 58 yards
C. 62 yards
D. 66 yards

Answer 1

`\boxed{\mathrm{54 \: yards}}`

Explanation:

The shape of the pool is a rectangle.

The diagonal of a rectangle can be found through a formula by using Pythagorean theorem.

`d^2=l^2 +w^2`

`d=diagonal\\l=length\\w=width`

The length is given 50 yards, and width is given 20 yards. Find the diagonal.

`d^2 =50^2 +20^2`

`d^2 =2500+400`

`d^2 =2900`

`d=√(2900)`

`d \approx 53.851648`

`d \approx 54`

Answer 2

`\boxed{d = 54 yards}`

Explanation:

Formula for diagonal is as follows:

`d = √(l^2+w^2)`

Where d is diagonal, l is length (50 yards) and w is width (20 yards)

`d = √((50)^2+(20)^2)`

`d = √(2500+400)`

`d = √(2900)`

d = 53.85 yards

d ≈ 54 yards