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 6240 m². if the width of the pool is 65 m, what is its length? length of the pool: m

Explanation:

Step1: Recall perimeter formula

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 width of parking - lot

Substitute the values into the formula: $w=\frac{376}{2}-99$. First, $\frac{376}{2}=188$, then $188 - 99 = 89$ m.

Step3: Recall area formula

The area formula of a rectangle is $A=l\times w$, where $A$ is area, $l$ is length and $w$ is width. Given $A = 6240$ m² and $w = 65$ m. We can rewrite the formula to solve for $l$: $l=\frac{A}{w}$.

Step4: Calculate length of pool

Substitute the values into the formula: $l=\frac{6240}{65}=96$ m.

Answer:

(a) 89
(b) 96