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

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

Answer 2

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