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

Answer: the answer is 96

Explanation:

Answer 2

The diagonal of a square forms two 45-45-90 triangles.

The ratios of the lengths of the sides of a 45-45-90 triangle are


`1~:~1~:~√(2)`

The hypotenuse is
`√(2)` times the length of the legs.

Each leg is the length of the hypotenuse divided by
`√(2)`.


`leg = (34)/(√(2)) = 24.0416`


`perimeter = 4 * side`


`perimeter = 4 * 24.0416`


`perimeter = 96.166`

Answer: he will need 96.2 ft of fencing.

[