The perimeter of a square is 20. Find the length of the diagonal

Then length of diagonal is 5√ (2)

Step-by-step explanation:

Perimeter (p) = 20

Perimeter of square (p) = 4xLength (L)

20=4 x L

Divide both sides by 4

20/4=4L/4

5=L

L=5

Length of diagonal=√ (5^2+5^2)

Length of diagonal=√ (5x5+5x5)

Length of diagonal=√ (25+25)

Length of diagonal=√ (50)

Length of diagonal=√ (25x2)

Length of diagonal=√ (25) x√ (2)

Length of diagonal=5x√ (2)

Length of diagonal=5√ (2)

d≈7.07

Step-by-step explanation:

Using the formulas

P=4a

d = / sqrt{2} a

Solving ford

d = / sqrt{2} P/4=2·20 / 4≈7.07107