Question

The perimeter of a rectangular lot of land is 448 A. This includes an easement of x feet of uniform width Inside the lot on which no building can be done . If the buildable area is 140 ft by 64 determine the width of the easement.

Answer 1

`5\ \text{ft}`

Explanation:

Perimeter of rectangular lot =
`448\ \text{ft}`

The width of the easement is
`x\ \text{ft}`

Buildable area 140 ft by 64 ft

`2(140+2x)+2(64+2x)=448\\\Rightarrow 140+2x+64+2x=(448)/(2)\\\Rightarrow 204+4x=224\\\Rightarrow x=(224-204)/(4)\\\Rightarrow x=5\ \text{ft}`

The width of the easement is
`5\ \text{ft}`.