Question

multiple choice
identify the choice that best completes the statement or answers the question.
find the dimensions of the rectangle meeting the specified conditions.
the perimeter is 68 centimeters and the length is 2 centimeters more than the width.
select one:
a. 21cm x 13cm
b. 22cm x 20cm
c. 18cm x 16cm
d. 17cm x 17cm
e. 21cm x 19cm

Explanation:

Step1: Set up variables

Let the width of the rectangle be \(w\) cm. Then the length \(l=(w + 2)\) cm.

Step2: Use the perimeter formula

The perimeter formula for a rectangle is \(P = 2(l + w)\). Given \(P=68\) cm. Substitute \(l=(w + 2)\) into the formula:

$$
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Step3: Find the length

If \(w = 16\) cm, then \(l=w + 2=16+2 = 18\) cm

Answer:

C. \(18cm\times16cm\)