Answer:
D. [tex] 4\frac{2}{5} [/tex]
Step-by-step explanation:
Area of fabrics = 2¾ square yards
Width of fabrics = ⅝ yard
Length of fabrics = x
Area = length * width
Therefore:
2¾ = ⅝*x
Change the mixed fraction to improper fraction
[tex] \frac{11}{4} = \frac{5x}{8} [/tex]
Cross multiply
[tex] 4*5x = 11*8 [/tex]
[tex] 20x = 88 [/tex]
Divide both sides by 20
[tex] \frac{20x}{20} = \frac{88}{20} [/tex]
[tex] x = \frac{22}{5} [/tex]
[tex] x = 4\frac{2}{5} [/tex]
[tex] length = 4\frac{2}{5} [/tex]
