Question

Doris uses 6 square pieces of fabric to make one scarf. Each side of a square piece of fabric is one third yard in length. Doris can buy large pieces of fabric that are one-third yard long and 2 yards wide. How many large pieces of fabric should she buy to make 5 scarves? Show your work.

Answer 1

Only 5 will be required

Explanation:

Take a look at the image attached to see the necessary explanations

Answer 2

5 large pieces of fabric.

Explanation:

Length of each side of a square piece of fabric =
`(1)/(3)` yard

Area of a Square = Length X Length

Area of one square piece of fabric =
`(1)/(3)` X
`(1)/(3)` =
`(1)/(9)` square yard.

To make one scarf, Doris uses 6 square pieces.

Area of one scarf =
`6 X (1)/(9)= (6)/(9)=(2)/(3)` square yard

Each large pieces of fabric is one-third yard long and 2 yards wide.

This is clearly a rectangle,

Area of a Rectangle = Length X Width

Area of each large piece of fabric=
`(1)/(3)X 2=(2)/(3)` square yard.

Since the Area of one scarf is equal to the area of each large piece of fabric, in order to make 5 scarves, Doris would need 5 large pieces of fabric.