Question

Morgan is making a square quilt with an area of 49 square feet for her nephew. The quilt is made out of square pieces that have a perimeter of 24 square inches. How many patches of material will Morgan need to complete the quilt for her nephew?

Answer 1

Answer:

196 patches

Step-by-step explanation:

We are told that the quilt is made out of square pieces that have a perimeter of 24 square inches.

This means that, length of one side = 24/4 = 6 inches.

Now since Morgan is making a square quilt with an area of 49 square feet for her nephew, let's convert 6 inches to ft.

6 inches = 6 × 1/12 = 0.5 ft

Thus, the area of a small quilt = 0.5 × 0.5 = 0.25 ft²

Number of patches = 49/0.25 = 196 patches