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 yards
Area 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