Question

If it requires 180 feet of fencing to enclose a rectangular lot 30 feet wide, how long is the lot?

Answer 1

`The\text{ lot is 60ft long}`

Step-by-step explanation:

Here, we want to get the length of the lot

Mathematically, what is required to fence the lot is the perimeter

Since the lot is rectangular in shape, we have the perimeter calculated as:

`2(l\text{ + w\rparen = P}`

Where:

l is the length of the lot which we want to calculate

w is the width of the lot which is 30 ft

Substituting the values:

`\begin{gathered} 2(l\text{ + 30\rparen = 180} \\ l\text{ + 30 = }(180)/(2) \\ \\ l\text{ + 30 = 90} \\ l\text{ = 90-30 } \\ l\text{ = 60 ft} \end{gathered}`