Question

You install 622 feet of fencing along the perlmeter of a rectangular yard. The width of the yard is 116 feet. What is the length of the yard?

Answer 1

195 feet

Step-by-step explanation:

The perimeter of the rectangular yard = 622 feet

The width of the yard, w = 116 feet

Now, the perimeter of a rectangle

`P=2(\text{Length}+\text{Width)}`

Next, we substitute the given values into the formula above.

`622=2(\text{Length}+116)`

To solve for the length, first, we divide both sides by 2.

`\begin{gathered} (622)/(2)=\frac{2(\text{Length}+116)}{2} \\ 311=\text{Length}+116 \end{gathered}`

Finally, we subtract 116 from both sides.

`\begin{gathered} 311-116=\text{Length}+116-116 \\ \text{Length}=195\text{ feet} \end{gathered}`