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Diana bought a piece of cloth 48 inches wide and 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 like the material. She wanted to buy what was left to do some sewing of her own. Diana was willing to sell the leftover material for the rate that she had paid for it. How much should she charge her sister?

Question

Diana bought a piece of cloth 48 inches wide and 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 like the material. She wanted to buy what was left to do some sewing of her own. Diana was willing to sell the leftover material for the rate that she had paid for it. How much should she charge her sister?

check_circleAnswer
Step 1

The length of the cloth is given as 1 yard which is equal to 36 inches and the width is 48 inches.

Therefore, the area of the cloth is evaluated as,

Area of the cloth = length x width
36 in x 48 in
1728 in2
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Area of the cloth = length x width 36 in x 48 in 1728 in2

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Step 2

The remaining area of the cloth after the  table c...

1
x total area
4
Area of the table cloth
1
=-x1728
4
= 432 in2
Area of the scarf made = 12 x 12
=144 in
Area covered to make a pillow = 1.5 feet x 2 feet
18 in x 24 in
432 inches
Remaining area of the cloth = 1728- 432 -144-432
= 720 in2
help_outline

Image Transcriptionclose

1 x total area 4 Area of the table cloth 1 =-x1728 4 = 432 in2 Area of the scarf made = 12 x 12 =144 in Area covered to make a pillow = 1.5 feet x 2 feet 18 in x 24 in 432 inches Remaining area of the cloth = 1728- 432 -144-432 = 720 in2

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