Question

Doris uses 8 square pieces to make one scarf. Each side of a square piece of fabric is 1/4 yard in length. Doris can buy large pieces of fabric that are 1/4 yard long and 2 yards wide.how many large pieces of fabric should she buy to make 7 scarves? Show your work?

Answer 1

She should buy 7 large pieces of fabric to make 7 scarves

Explanation:

Length of side of each square piece =
`(1)/(4) yards`

Area of 1 square piece =
`Side^2 = ((1)/(4))^2 = (1)/(16) yards^2`

Doris uses 8 square pieces to make one scarf.

Area of 8 square pieces = Area of 1 scarf =
`8 * (1)/(16)=(1)/(2) yards^2`

Area of 7 scarves =
`7 * (1)/(2)=(7)/(2) yards^2`

Length of fabric bought by Doris =
`(1)/(4) yards`

Breadth of fabric brought by Doris = 2 yards

Area of fabric brought by Doris =
`Length * Breadth = (1)/(4) * 2=(1)/(2) yards^2`

So,She should buy no. of large pieces of fabric to make 7 scarves =
`((7)/(2))/((1)/(2))=(7)/(2) * 2 =7`

Hence She should buy 7 large pieces of fabric to make 7 scarves