Question

question 28
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the width of a rectangle is 6cm shorter than the length. determine the length of the
rectangle if the perimeter is 90cm.
o a. 48 cm
b. 25.5 cm
o c. 42 cm
d. 19.5 cm
o e. none of these

Explanation:

Step1: Let the length of the rectangle be \(x\) cm.

Then the width is \((x - 6)\) cm.

Step2: Use the perimeter formula \(P=2(l + w)\).

Given \(P = 90\) cm, so \(90=2(x+(x - 6))\).

Step3: Simplify the equation.

First, expand the right - hand side: \(90=2(2x-6)\). Then \(90 = 4x-12\).

Step4: Solve for \(x\).

Add 12 to both sides: \(90 + 12=4x\), so \(102 = 4x\). Then \(x=\frac{102}{4}=25.5\) cm.

Answer:

B. 25.5 cm