Question

Solve the following equation Express your answer as an integer, simplified fraction or decimal rounded to two decimal places.A rectangular shaped parking lot is to have a perimeter of 624 yards, if the width must be 82 yards because of a building code, what willthe length need to be?

Answer 1

Length = 230yards

Step-by-step explanation:

We were given that:

The figure is a rectangle

Perimeter = 624 yards

Width = 82 yards

Length = ?

We will find the Length as shown below:

`\begin{gathered} Perimeter=2(length+width)_{} \\ Perimeter(P)=624yards \\ Width(w)=82yards \\ Length(l)=\text{?} \\ \text{Substitute the values of the variables into the equation, we have:} \\ 624=2(length+82) \\ 624=2l+164 \\ \text{Subtract ''164'' from both sides, we have:} \\ 624-164=2l \\ 460=2l \\ 2l=460 \\ \text{Divide both sides by ''2'', we have:} \\ l=(460)/(2)=230 \\ l=230yards \\ \\ \therefore length=230yards \end{gathered}`

Therefore, the length will need to be 230 yards