Question

Diana bought a piece of cloth 48 inches wide and 1 yard long. It cost $12. She cut off one-fourth and used it to make a tablecloth. From the remaining material, she used a piece that was 12 inches wide and 12 inches long to make a scarf and a piece 1.5 feet by 2 feet to make the cover for a pillow. Her sister saw Diana's sewing efforts and said she really liked the material. She wanted to buy what was left to do some sewing

Answer 1

Explanation:

The piece of cloth Diana bought is 48 inches wide and 1 yard (or 36 inches) long. So the total area of the cloth is:

48 inches x 36 inches = 1,728 square inches

Diana cut off one-fourth of the cloth, which is:

1/4 x 1,728 square inches = 432 square inches

The remaining area of the cloth is:

1,728 square inches - 432 square inches = 1,296 square inches

Diana used a piece that was 12 inches wide and 12 inches long to make a scarf. This piece has an area of:

12 inches x 12 inches = 144 square inches

So the area of the cloth that remains after making the scarf is:

1,296 square inches - 144 square inches = 1,152 square inches

Diana used a piece that was 1.5 feet by 2 feet to make the cover for a pillow. Converting the dimensions to inches, we get:

1.5 feet x 12 inches/foot = 18 inches

2 feet x 12 inches/foot = 24 inches

So the area of the cloth that Diana used to make the pillow cover is:

18 inches x 24 inches = 432 square inches

The total area of the cloth that Diana used for the scarf and the pillow cover is:

144 square inches + 432 square inches = 576 square inches

So the area of the cloth that Diana's sister can buy for her sewing is:

1,152 square inches - 576 square inches = 576 square inches

To convert this to yards, we divide by 36 (since there are 36 square inches in a square yard):

576 square inches / 36 square inches/yard = 16 square yards

Therefore, Diana's sister can buy 16 square yards of the cloth that remains.