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:She should buy 7  large pieces of fabric to make 7 scarves Step-by-step explanation:Length of side of each square piece = [tex]\frac{1}{4} yards[/tex]Area of 1 square piece = [tex]Side^2 = (\frac{1}{4})^2 = \frac{1}{16} yards^2[/tex]Doris uses 8 square pieces to make one scarf. Area of 8 square pieces = Area of 1 scarf = [tex]8 \times \frac{1}{16}=\frac{1}{2} yards^2[/tex]Area of 7 scarves = [tex]7 \times \frac{1}{2}=\frac{7}{2} yards^2[/tex]Length of fabric bought by Doris =[tex]\frac{1}{4} yards[/tex]Breadth of fabric brought by Doris = 2 yardsArea of fabric brought by Doris = [tex]Length \times Breadth = \frac{1}{4} \times 2=\frac{1}{2} yards^2[/tex]So,She should buy no. of large pieces of fabric to make 7 scarves =[tex]\frac{\frac{7}{2}}{\frac{1}{2}}=\frac{7}{2} \times 2 =7[/tex]Hence She should buy 7  large pieces of fabric to make 7 scarves