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

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

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)

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6