Finding the Width of a Rectangular Room Given Its Area
Apply the geometry problem-solving strategy using the rectangle area formula when the area and one dimension are known, requiring division to isolate the unknown.
Problem: The area of a rectangular room is square feet and the length is feet. What is the width?
- Read: A rectangular room has sq ft and ft; find the width. Draw and label the figure.
- Identify: The width of the rectangular room.
- Name: Let = the width.
- Translate: Write the area formula and substitute the given values:
- Solve: Divide both sides by : , which gives .
- Check: Substitute back: , and
- Answer: The width of the room is feet.
Unlike the perimeter example — which involves only multiplication and addition — this problem requires dividing both sides of the equation by the known length to isolate the unknown width. This demonstrates that when one dimension and the area are known, the area formula becomes a one-step linear equation solved by division.
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