Question

A/ The perimeter of a rectangular parking lot is 254 m. If the length of a parking lot is 69 m, what is it’s width? width of the parking lot: m B/ The area of a rectangular pool is 4212 m2 . If the width of the pool is 54 m, what is its length? length of the pool: m

Answer 1

Hello!

Solving A:

The perimeter is the sum of all sides of the figure. As we know, this is rectangular parking with a length equal to 69m. Look at the figure below:

As we know the definition of the perimeter, we can sum all sides, look:

`\begin{gathered} 69+x+69+x=254 \\ 2x+138=254 \\ 2x=254-138 \\ 2x=116 \\ x=(116)/(2) \\ \\ \boxed{x=58m} \end{gathered}`

Answer for A:

width of the parking lot = 58m.

Solving B:

We'll solve it in a similar way.

The area of a rectangle is obtained using the formula:

`\mathrm{A=width}\cdot\mathrm{length}`

Replacing the values, we'll obtain:

`\begin{gathered} 4212m^2\mathrm{=}54m\cdot x \\ x=(4212m^2)/(54m) \\ \\ \boxed{x=78m} \end{gathered}`

Answer for B:

length of the pool = 78m.