Question

answer the questions below.
(a) the perimeter of a rectangular parking lot is 376 m.
if the length of the parking lot is 99 m, what is its width?
width of the parking lot: m
(b) the area of a rectangular pool is 5005 m².
if the width of the pool is 65 m, what is its length?
length of the pool: m

Explanation:

Step1: Recall perimeter formula for rectangle

The perimeter formula of a rectangle is $P = 2(l + w)$, where $P$ is perimeter, $l$ is length and $w$ is width. Given $P = 376$ m and $l=99$ m. We can rewrite the formula to solve for $w$: $w=\frac{P}{2}-l$.

Step2: Calculate the width of the parking - lot

Substitute $P = 376$ and $l = 99$ into the formula: $w=\frac{376}{2}-99=188 - 99=89$ m.

Step3: Recall area formula for rectangle

The area formula of a rectangle is $A=l\times w$, where $A$ is area, $l$ is length and $w$ is width. Given $A = 5005$ m² and $w = 65$ m. We can rewrite the formula to solve for $l$: $l=\frac{A}{w}$.

Step4: Calculate the length of the pool

Substitute $A = 5005$ and $w = 65$ into the formula: $l=\frac{5005}{65}=77$ m.

Answer:

(a) 89 m
(b) 77 m