ASVAB (Armed Services Vocational Aptitude Battery)Mathematics Knowledge (MK)Medium
A military base needs to order new fencing for a rectangular storage yard. The yard is 150 feet long and 75 feet wide. If fencing is sold in rolls of 50 feet, how many rolls must be purchased to enclose the entire yard?
- A7 rolls
- B8 rolls
- C9 rolls
- D6 rolls
Show answer & explanationAnswer & explanation
Correct answer: C. 9 rolls
First, calculate the perimeter of the yard: 2 * (150 feet + 75 feet) = 2 * 225 feet = 450 feet. Then, divide the total perimeter by the length per roll: 450 feet / 50 feet/roll = 9 rolls.
Why the other options are wrong
- A. Possible calculation error in perimeter or division, or rounding down.
- B. Error in perimeter calculation or division.
- D. Underestimated perimeter or division error.
Perimeter of a Rectangle
The perimeter of a rectangle is the total distance around its boundary. It is calculated by adding the lengths of all four sides.
- Formula: P = 2 * (length + width)
- Units of perimeter are linear (e.g., feet, meters).
- Used for fencing, framing, or outlining rectangular areas.
Memory trick: Perimeter 'P'lus 'R'olls, 'P'erfect 'R'esult.