Question

answer the questions below. (a) the area of a rectangular parking lot is 7802 m². if the width of the parking lot is 83 m, what is its length? length of the parking lot: □ m (b) the perimeter of a rectangular pool is 288 m. if the length of the pool is 79 m, what is its width? width 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. Given $A = 7802$ m² and $w = 83$ m, we need to find $l$.

Step2: Solve for length

$l=\frac{A}{w}=\frac{7802}{83}=94$ 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. Given $P = 288$ m and $l = 79$ m, we need to find $w$.

Step4: Rearrange perimeter formula to solve for width

First, expand the formula: $P=2l + 2w$. Then, $2w=P - 2l$. So, $w=\frac{P - 2l}{2}$. Substitute $P = 288$ m and $l = 79$ m into the formula: $w=\frac{288-2\times79}{2}=\frac{288 - 158}{2}=\frac{130}{2}=65$ m

Answer:

(a) 94 m
(b) 65 m