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The length of a rectangle is 3 feet longer than the width. The perimeter is 30 feet. Find the dimensions of the rectangle.
Step 1. Perimeter P means adding up all 4 sides of a rectangle.
Step 2. Let w be the width.
Step 3. Let w+3 be the length since it is 3 feet longer.
Step 4. Then, P=w+w+w+3+w+3 or 4w+6=30
Subtract 6 from both sides of the equation
Divide by 4 to both sides of the equation
. Note that
which is a true statement.
Step 5. ANSWER: The width is 6 feet and the length is 9 feet.
I hope the above steps were helpful.
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