39. The dimensions of a whiteboard with a frame are 2.5 feet by 3.5 feet. What is its perimeter?
Answer: B
The perimeter of the whiteboard is 12 feet.
To find the perimeter of a rectangle, you add the lengths of all sides together. For the whiteboard with dimensions 2.5 feet and 3.5 feet, the perimeter is calculated as 2 × (2.5 + 3.5) = 12 feet.
A) 13 ft
This option is incorrect because it overestimates the perimeter calculation. The addition of the dimensions 2.5 and 3.5 yields 6 feet, and doubling that results in 12 feet, not 13.
B) 12 ft
This option is correct as it accurately represents the perimeter of the whiteboard. The calculation of 2 × (2.5 + 3.5) gives the correct total of 12 feet.
C) 9.75 ft
This option is incorrect because it underestimates the perimeter. A perimeter of 9.75 feet does not result from the dimensions given, as the correct calculation leads to 12 feet.
D) 8.75 ft
This option is incorrect as well. The calculated perimeter does not support this value, as the perimeter must be derived from the sum of the dimensions, which leads to a total of 12 feet.
Conclusion
The calculation for the perimeter of the whiteboard confirms that 12 feet is the correct answer, as all other options either overstate or understate the result. The accurate method of calculating the perimeter ensures that option B is definitively correct while all other options fail to provide a valid solution based on the given dimensions.