Question

answer the questions below.
(a) the area of a rectangular parking lot is 6776 m².
if the length of the parking lot is 88 m, what is its width?
width of the parking lot: m
(b) the perimeter of a rectangular pool is 254 m.
if the width of the pool is 58 m, what is its length?
length of the pool: m

Explanation:

(a)

Step1: Recall the area formula for a rectangle

The area formula for a rectangle is \(A = l\times w\), where \(A\) is the area, \(l\) is the length, and \(w\) is the width. We need to solve for \(w\), so \(w=\frac{A}{l}\).

Step2: Substitute the given values

Given \(A = 6776\space m^{2}\) and \(l = 88\space m\). Then \(w=\frac{6776}{88}\).

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(b)

Step1: Recall the perimeter formula for a rectangle

The perimeter formula for a rectangle is \(P=2(l + w)\), where \(P\) is the perimeter, \(l\) is the length, and \(w\) is the width. First, solve the formula for \(l\):

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Step2: Substitute the given values

Given \(P = 254\space m\) and \(w = 58\space m\). Then \(l=\frac{254}{2}-58\).

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Answer:

(a) \(77\space m\)
(b) \(69\space m\)