Question

answer the questions below.
(a) the perimeter of a rectangular parking lot is 326 m.
if the length of the parking lot is 96 m, what is its width?
width of the parking lot:
(b) the area of a rectangular pool is 6512 m².
if the width of the pool is 74 m, what is its length?
length of the pool:

Explanation:

(a)

Step1: Recall the perimeter formula for 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. Given \(P=326\) m and \(l = 96\) m.
Substitute into the formula: \(326=2(96 + w)\).

Step2: Solve for \(w\)

First, divide both sides of the equation by \(2\): \(\frac{326}{2}=96 + w\), so \(163=96 + w\).
Then subtract \(96\) from both sides: \(w=163 - 96\).
\(w = 67\) m.

(b)

Step1: Recall the area formula for 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. Given \(A = 6512\) \(m^{2}\) and \(w = 74\) m.
Substitute into the formula: \(6512=l\times74\).

Step2: Solve for \(l\)

Divide both sides of the equation by \(74\): \(l=\frac{6512}{74}\).
\(l = 88\) m.

Answer:

(a) \(67\) m
(b) \(88\) m