Question

Sarah bought 12 feet or fabric that was 2 1/3 feet wide to make curtains. She used 1/4 of the fabric to make a long set of curtains and the rest to make 5 short sets. Find the area of the fabric she used for each of the sets.

Answer 1

Step-by-step explanation:

If Sarah bought 12 feet of fabric that was 2 1/3 feet wide to make curtains, this means that the area of the fabric she used for the long set of curtains would be:

`12\text{ x 2}(1)/(3)\text{ = 12 x }(7)/(3)\text{ = 28 ft}^2`

Now, if 1/4 of the fabric is 28, then 3/4 would be 84. Now, according to the problem, she used 1/4 of the fabric to make a long set of curtains and the rest to make 5 short sets. Then, 84 ÷ 5 = 16.8, or equivalently:

`(84)/(5)=16(4)/(5)`

then, the area of the fabric she used for each of the short sets would be:

`16(4)/(5)`

we can conclude that the correct answer is:

Answer:the area of the fabric she used for the long set of curtains is:
`\text{ 28 ft}^2`the area of the fabric she used for each of the short sets is:

`16(4)/(5)\text{ ft}^2\text{ = }(84)/(5)\text{ ft}^2`