Question

answer each question.

1. what is the area of a square with a side measure of 11 inches?
2. a rectangle has a perimeter of 60 feet and a length of 21 feet. what is the width of the rectangle?

Explanation:

Step1: Calculate the area of the square

The formula for the area of a square is \(A = s^{2}\), where \(s\) is the side - length. Given \(s = 11\) inches.
\(A=11^{2}=11\times11\)

Step2: Calculate the width of the rectangle

The formula for the perimeter of a rectangle is \(P = 2l+2w\). Given \(P = 60\) feet and \(l = 21\) feet.
First, substitute the values into the formula: \(60=2\times21 + 2w\).
Simplify the right - hand side: \(60 = 42+2w\).
Subtract 42 from both sides: \(60 - 42=2w\), so \(18 = 2w\).
Divide both sides by 2: \(w=\frac{18}{2}\)

Answer:

1. The area of the square is \(121\) square inches.
2. The width of the rectangle is \(9\) feet.