Claire is decorating a card for her friend. She has a square piece of paper with an area of 36 square inches. She wants to put ribbon around the edges of the paper.

Question

Find the amount of ribbon she needs to put ribbon around the edges of the paper.





(1 point)
Responses

24
inches
24 inches

40
inches
40 inches

32
inches
32 inches

16
inches
16 inches

Answer 1

To find the amount of ribbon Claire needs, we first need to determine the perimeter of the square piece of paper.

1. Find the side length of the square: The area of the square is given as 36 square inches. The area \( A \) of a square is calculated using the formula: \[ A = s^2 \] where \( s \) is the side length. To find \( s \), we take the square root of the area: \[ s = \sqrt{36} = 6 \text{ inches} \]

2. Calculate the perimeter of the square: The perimeter \( P \) of a square is given by the formula: \[ P = 4s \] Now, substituting the side length we found: \[ P = 4 \times 6 = 24 \text{ inches} \]

Therefore, the amount of ribbon Claire needs to put around the edges of the paper is 24 inches.