Question

A rectangular banner covers an area of 2 7/8ft2. The length of the banner is 3/4ft. What is the width of the banner in ft?

Answer 1

Width of the rectangular banner is
`3(5)/(6)` ft.

Explanation:

Area of the rectangular banner =
`2(7)/(8)` square feet

=
`(23)/(8)` square feet

Area of rectangle is given by,

Area = Length × Width

Length of the banner =
`(3)/(4)` feet

From the formula,

`(23)/(8)=(3)/(4)* W`

W =
`((23)/(8) )/((3)/(4) )`

=
`(23)/(8)* (4)/(3)`

=
`(23)/(6)`

=
`3(5)/(6)` ft

Therefore, width of the rectangular banner is
`3(5)/(6)` ft