Question

answer the questions below. (a) the perimeter of a rectangular parking lot is 356 m. if the length of the parking lot is 94 m, what is its width? width of the parking lot: m (b) the area of a rectangular pool is 8811 m². if the width of the pool is 89 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 the perimeter, $l$ is the length and $w$ is the width. Given $P=356$ m and $l = 94$ m. We first substitute these values into the formula: $356=2(94 + w)$.

Step2: Solve for width

Divide both sides of the equation $356 = 2(94 + w)$ by 2: $\frac{356}{2}=94 + w$, so $178=94 + w$. Then subtract 94 from both sides: $w=178 - 94=84$ m.

Step3: Recall area formula for rectangle

The area formula of a rectangle is $A=l\times w$, where $A$ is the area, $l$ is the length and $w$ is the width. Given $A = 8811$ m² and $w = 89$ m. We substitute these values into the formula: $8811=l\times89$.

Step4: Solve for length

Divide both sides of the equation $8811=l\times89$ by 89: $l=\frac{8811}{89}=99$ m.

Answer:

(a) 84
(b) 99