Question

How many yards long is a piece of fabric witha width of 5/8 yrd nd a area of 2 3/4 square yards?

Answer 1

D.
`4(2)/(5)`

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

`(11)/(4) = (5x)/(8)`

Cross multiply

`4*5x = 11*8`

`20x = 88`

Divide both sides by 20

`(20x)/(20) = (88)/(20)`

`x = (22)/(5)`

`x = 4(2)/(5)`

`length = 4(2)/(5)`