A square floor has a diagonal of 30 feet. What is the closest estimate of the perimeter, in feet, of the floor? - IQ786

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A square floor has a diagonal of 30 feet. What is the closest estimate of the perimeter, in feet, of the floor?

A square floor has a diagonal of 30 feet. What is the closest estimate of the perimeter, in feet, of the floor?

45

60

85

96

Explanation

Step 1: Use the Diagonal Formula for a Square

For a square with side length $s$ , the diagonal $d$ is given by:

d = ssqrt{2}

Substituting $d = 30$

30 = ssqrt{2}

Approximating

$sqrt{2} approx 1.414$

Step 3: Calculate the Perimeter

The perimeter $P$ of a square is:

P approx 4 times 21.21 = 84.84