Question

A window shaped like a parallelogram has an area of 23 4/5 square feet. The height of the window is 2 4/5 feet. How long is the base of the window?

Answer 1

base = 8
`(1)/(2)ft`

Explanation:

The general formula for the area of a parallelogram is:

A = bh, where b = the length of the base and h = the height

Using the given values for area and height, we can solve for the missing variable of 'b':

23
`(4)/(5)=(119)/(5)`

2
`(4)/(5)=(14)/(5)`

`(119)/(5)=(14)/(5)h`

Multiply both sides by the reciprocal:

`((5)/(14))((119)/(5))=((14)/(5))((5)/(14))h`

`(119)/(14)=h`

`h=8(1)/(2)ft`