Question

sonya wants to sew ribbon along each side of a square pillow. if the pillow has an area of 144 square inches, how much ribbon must she buy to have the exact amount that she needs? enter your answer in the box. in.

Explanation:

Answer:

48

To determine the length of ribbon needed, we first find the side length of the square pillow. The area of a square is given by \( A = s^2 \), where \( s \) is the side length. Given \( A = 144 \) square inches, we solve for \( s \):

\( s^2 = 144 \)
\( s = \sqrt{144} = 12 \) inches (since side length is positive).

The perimeter of a square (the total length of ribbon needed, as ribbon is sewn along each side) is given by \( P = 4s \). Substituting \( s = 12 \):

\( P = 4 \times 12 = 48 \) inches.