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

Answer:

Only 5 will be required

Step-by-step explanation:

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

Answer 2

Answer:

5 large pieces of fabric.

Step-by-step explanation:

Length of each side of a square piece of fabric =$\frac{1}{3}$ yard

Area of a Square = Length X Length

Area of one square piece of fabric = $\frac{1}{3}$ X $\frac{1}{3}$ =$\frac{1}{9}$ square yard.

To make one scarf, Doris uses 6 square pieces.

Area of one scarf =  $6 X \frac{1}{9}= \frac{6}{9}=\frac{2}{3}$ 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=$\frac{1}{3}X 2=\frac{2}{3}$ 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.