SOLUTION: The length of a rectangle is 3cm longer than the width. The perimeter of the rectangle is 22cm. What is the length?

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Question 229272: The length of a rectangle is 3cm longer than the width. The perimeter of the rectangle is 22cm. What is the length?
Answer by drj(1380) About Me  (Show Source):
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The length of a rectangle is 3cm longer than the width. The perimeter of the rectangle is 22cm. What is the length?

Step 1. Perimeter P means adding up all 4 sides of a rectangle.

Step 2. Let w be the width.

Step 3. Let w+2 be the length since it is 3 cm longer than the width

Step 4. Then, P=w+w+w+3+w+3=22 since the perimeter is 24 inches

Step 5. Solving P=w+w+w+3+w+3=22 yields the following steps

4w%2B6=22

Subtract 6 from both sides of the equation

4w%2B6-6=22-6

4w=16

Divide by 4 to both sides of the equation

cross%284%29w%2Fcross%284%29=16%2F4

w=4 and w%2B3=7. Check Perimeter P=2%284%2B7%29=22 which is a true statement.

Step 5. ANSWER: The width is 4 cm and the length is 7 cm.

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J