Question

1. a square has an area of 42.25 ft². what is the side length and perimeter of the square? side length: perimeter: 31 solve for y 2y + 3 = -8 7y = 10

Explanation:

Step1: Find the side length

The area formula of a square is \(A = s^{2}\), where \(A\) is the area and \(s\) is the side - length. Given \(A=42.25\space ft^{2}\), then \(s=\sqrt{A}\).
\(s = \sqrt{42.25}\)
Since \(6.5\times6.5 = 42.25\), so \(s = 6.5\space ft\)

Step2: Find the perimeter

The perimeter formula of a square is \(P=4s\). Substitute \(s = 6.5\space ft\) into the formula.
\(P=4\times6.5\)
\(P = 26\space ft\)

Answer:

Side length: \(6.5\space ft\); Perimeter: \(26\space ft\)