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.

Let s be the length of a side.

By the Pythagorean Theorem (or knowledge of 45-45-90 triangles) we can find the length of a side from the hypotenuse.

s² + s² = 34²

2s² = 34²

2s² = 1156

s² = 578

s = √578

s ≈ 24.04

There are 4 sides to the square:

P = 4s

P ≈ 96.16

Answer:

About 96 feet

Ok

pythagorean theorem

a and b are legs, c is hypotonuse (diagonal in this problem)

in square, legs are equal

a=b

a^2+b^2=c^2

diagonal is 34

a=b

a^2+a^2=34^2

2a^2=1156

divide both sides by 2

a^2=578

a=17√2

perimiter is 4 time 1 side for square

p=4 times 17√2

P=68√17 feet

aprox 96.1665 feet