Question
The width of a rectangular dance floor is w feet. The length of the floor is 6 feet longer than its width. Which of the following expresses the perimeter, in feet, of the dance floor in terms of w?
- 2w + 6
- 4w + 12
Hint:
he formula for the perimeter of a rectangle is,
P= length + width + length + width = 2 × (length + width)
P= length + width + length + width = 2 × (length + width)
The correct answer is: 4w + 12
Step 1 of 2:
Given, the width of a rectangular dance floor is feet. The length of the floor is feet longer than its width.
Hence, length of the floor is (6 + w) feet.
Step 2 of 2:
By the formula of the perimeter of a rectangle, P = 2 × (length + width)
⇒ P = 2 × (6 + 2w)
⇒ P = 4w + 12
Final Answer:
The expression of the perimeter, in feet, of the dance floor in terms of w, is— B) 4w + 12.
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