Question

answer the questions below. (a) the area of a rectangular parking lot is 8232 m². if the length of the parking lot is 98 m, what is its width? width of the parking lot: m (b) the perimeter of a rectangular pool is 364 m. if the width of the pool is 85 m, what is its length? length of the pool: m

Explanation:

Step1: 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. We need to solve for $w$. So, $w=\frac{A}{l}$.

Step2: Substitute values for parking - lot

Given $A = 8232\ m^{2}$ and $l = 98\ m$. Then $w=\frac{8232}{98}=84\ m$.

Step3: 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. We can rewrite it to solve for $l$: $l=\frac{P}{2}-w$.

Step4: Substitute values for pool

Given $P = 364\ m$ and $w = 85\ m$. Then $l=\frac{364}{2}-85=182 - 85=97\ m$.

Answer:

(a) 84
(b) 97