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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.

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Answer:

[tex]5\ \text{ft}[/tex]

Step-by-step explanation:

Perimeter of rectangular lot = [tex]448\ \text{ft}[/tex]

The width of the easement is [tex]x\ \text{ft}[/tex]

Buildable area 140 ft by 64 ft

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

The width of the easement is [tex]5\ \text{ft}[/tex].

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