Question

1. nadia wants to enclose a square garden with fencing. it has an area of 141 square feet. to the nearest foot, how much fencing will she need? explain.

Explanation:

Step1: Find the side length of the square

The area of a square is given by the formula \( A = s^2 \), where \( A \) is the area and \( s \) is the side length. We know the area \( A = 141 \) square feet. To find the side length \( s \), we take the square root of the area:
\( s = \sqrt{141} \)
Calculating \( \sqrt{141} \approx 11.87 \) feet (to two decimal places).

Step2: Calculate the perimeter of the square

The perimeter \( P \) of a square is given by the formula \( P = 4s \), where \( s \) is the side length. Substituting \( s \approx 11.87 \) into the formula:
\( P = 4 \times 11.87 \approx 47.48 \) feet.

Step3: Round to the nearest foot

Rounding \( 47.48 \) to the nearest foot gives \( 47 \) feet.

Answer:

Nadia will need approximately \(\boldsymbol{47}\) feet of fencing.