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39 votes
39 votes
A square has a perimeter of 40 feet. Find the length of the
diagonal of the square.

User Abercrombie
by
3.5k points

2 Answers

16 votes
16 votes

Answer:

14.14

Explanation:

A square has a perimeter of 40 feet. Find the length of the diagonal of the square-example-1
User Juan John Mathews
by
2.5k points
11 votes
11 votes

Answer:

The length of the diagonal of the square is about 14.142 feet

Explanation:

Step 1: Determine the length


P = 4(l)


40\ ft = 4(l)


(40\ ft)/(4)=(4(l))/(4)


10\ ft = l

Step 2: Determine the diagonal length

Pythagorean theorem →
a^2 + b^2 = c^2

a and b are going to be the sides of the square which are both 10 ft so we just plug those in and solve for c


(10)^2 +(10)^2 =c^2


100+100=c^2


√(200)=√(c^2)


14.142=c

Answer: The length of the diagonal of the square is about 14.142 feet

User Dragoneye
by
2.5k points