A square floor has a diagonal of 30 feet. What is the closest estimate of the perimeter, in feet, of the floor?
Answer: 85
Explanation
Step 1: Use the Diagonal Formula for a Square
For a square with side length s, the diagonal d is given by:
Substituting
Step 2: Solve for s
Multiply numerator and denominator by to rationalize:
Approximating2
Step 3: Calculate the Perimeter
The perimeter of a square is:
P=4s
P≈4×21.21=84.84
The closest estimate is 85.
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