Question

A square garden has a diagonal of 34 ft. Colton wants to put a fence around the entire garden.

How much fencing will he need? Round to the nearest foot.

Answer 1

96 feet

Explanation:

Given : A square garden has a diagonal of 34 ft. Colton wants to put a fence around the entire garden.

To Find: How much fencing will he need? Round to the nearest foot.

Solution:

Formula of diagonal of square =
`√(2)a`

Where a is the side of the square.

Since we are given the diagonal length of square garden = 34 ft.

So,
`34=√(2)a`

`(34)/(√(2))=a`

`24.04=a`

Thus the side of the square garden is 24.04 ft.

Now we are supposed to find how much fencing is required

So, we are supposed to find the perimeter of square.

Perimeter of square =
`4 * side`

=
`4 * 24.04`

=
`96.16`

Thus he need 96.16 ≈ 96 feet fencing .