Question

1. the area of a square garage is 121 square feet. will it fit a car that measures 13 feet long? explain.

Explanation:

Step1: Find side length of square

The area of a square is given by \( A = s^2 \), where \( s \) is the side length. Given \( A = 121 \) square feet, we solve for \( s \):
\( s=\sqrt{121} = 11 \) feet.

Step2: Compare side length to car length

The car is 13 feet long. The side length of the square garage is 11 feet. Since \( 11<13 \), the garage's side is shorter than the car's length.

Answer:

No, the square garage with an area of 121 square feet has a side length of 11 feet (since \( \sqrt{121}=11 \)). The car is 13 feet long, and \( 11<13 \), so the car will not fit.