Question

answer the questions below. (a) the perimeter of a rectangular parking lot is 358 m. if the width of the parking lot is 82 m, what is its length? length of the parking lot: m (b) the area of a rectangular pool is 3975 m². if the length of the pool is 75 m, what is its width? width 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 $P = 358$ m and $w = 82$ m. We can rewrite the formula to solve for $l$: $l=\frac{P}{2}-w$.

Step2: Calculate length of parking - lot

Substitute $P = 358$ m and $w = 82$ m into the formula: $l=\frac{358}{2}-82=179 - 82=97$ 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 $A = 3975$ m² and $l = 75$ m. We can rewrite the formula to solve for $w$: $w=\frac{A}{l}$.

Step4: Calculate width of pool

Substitute $A = 3975$ m² and $l = 75$ m into the formula: $w=\frac{3975}{75}=53$ m.

Answer:

(a) 97
(b) 53