QUESTION IMAGE
Question
- use three unit multipliers to convert 300 kilometers to inches.
- the perimeter of a rectangle is 56 cm. the length of one side of the rectangle is 18 cm. find the area of the rectangle.
Step1: Find the width of the rectangle
The formula for the perimeter of a rectangle is \(P = 2(l + w)\), where \(P\) is the perimeter, \(l\) is the length, and \(w\) is the width.
Given \(P=56\) cm and \(l = 18\) cm.
Substitute into the formula: \(56=2(18 + w)\)
First, divide both sides by 2: \(\frac{56}{2}=18 + w\)
\(28=18 + w\)
Then subtract 18 from both sides: \(w=28 - 18\)
\(w = 10\) cm
Step2: Calculate the area of the rectangle
The formula for the area of a rectangle is \(A=l\times w\)
Substitute \(l = 18\) cm and \(w = 10\) cm
\(A=18\times10\)
\(A = 180\) \(cm^{2}\)
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The area of the rectangle is \(180\) \(cm^{2}\)