GED Mathematical Reasoning TestQuantitative Problem Solving with Rational NumbersMedium
A homeowner is building a fence around a square garden. Each side of the garden measures 15.5 feet. If fencing costs $3.50 per foot, what is the total cost of the fencing?
- A$217.00
- B$961.00
- C$54.25
- D$108.50
Show answer & explanationAnswer & explanation
Correct answer: A. $217.00
First, find the perimeter of the square garden: 4 * 15.5 feet = 62 feet. Then, multiply the total length of fencing by the cost per foot: 62 feet * $3.50/foot = $217.00.
Why the other options are wrong
- B. This is the area (15.5^2) multiplied by the cost, which is incorrect for fencing.
- C. This is the cost for one side only (15.5 * 3.50).
- D. This is the cost for two sides (2 * 15.5 * 3.50).
Perimeter and Cost Calculation
The perimeter is the total distance around the boundary of a two-dimensional shape. To find the cost of material for a perimeter, multiply the perimeter by the cost per unit length.
- Perimeter of a square = 4 × side length.
- Units for perimeter are linear (e.g., feet, meters).
- Total Cost = Perimeter × Cost per Unit Length.
Memory trick: Around the edge, then multiply by cost, for the total price, nothing lost.