Question

What is the width of a rug that is 36 1/4 square feet and 8 3/4 wide

Answer 1

Answer:
`4(1)/(7) ft`

Explanation:

Area (A):
`36(1)/(4) = (4(36)+1)/(4) = (144+1)/(4) = (145)/(4)`

Length (L):
`8(3)/(4) = (4(8)+3)/(4) = (32+3)/(4) = (35)/(4)`

width (w): W

A = L x W

`(145)/(4)` =
`(35)/(4)` x W

`((4)/(35))`
`(145)/(4)` =
`((4)/(35))`
`(35)/(4)` x W

`(4(145))/(35(4)) = (145)/(35) = (5(29))/(5(7)) = (29)/(7) = W`

`(29)/(7) = (7(4) + 1)/(7) = 4(1)/(7)`