Question

the area of a rectangular dog pen is 8 1/2 square feet. if the width is 3 2/5 feet, what is the length, in feet?

Answer 1

2.5 ft.

a rectangle's area is Length • Width


`8.5 = 3.4 * x`

`8.5 / 3.4 = x`

`2.5 = x`

Answer 2

Area of rectangle is equal to multiply the length by width

i.e
`A = l* w` .....[1]

where

A is the area of rectangle ,

l is the length and

w is the width of the rectangle respectively.

Given : Area of rectangular do pen(A) =
`8(1)/(2) = (17)/(2)` square feet and width(w) =
`3(2)/(5) = (17)/(5)` feet.

To calculate the length in feet.

Substitute the given values in [1], we get

`(17)/(2)= l* (17)/(5)`

Multiply both sides by
`(5)/(17)` we get;

`l = (17)/(2) * (5)/(17) =(5)/(2) = 2(1)/(2)` feet.

Therefore, the length in feet is,
`2(1)/(2)`