Question

Difficulty: EasyPerimeter and Fencing Problems

A city is installing a new fence around a rectangular dog park. The park has a length of 8080 feet and a width of 6060 feet. How many feet of fencing are required to completely enclose the park?

Answer: 280 feet

Answer

280
The fencing must cover the entire outer edge of the rectangular park. The perimeter is found by adding the length and width together, then multiplying the sum by 2 to account for all four sides. Thus, 2 × (80 + 60) = 280 feet.

Step-by-Step Solution

1
Identify the given dimensions of the rectangular park.
Length = 80 feet, Width = 60 feet.
To determine the values needed for the perimeter formula.
2
Apply the formula for the perimeter of a rectangle.
Perimeter = 2 × (80 + 60)
The total fencing required is equal to the perimeter of the rectangle.
3
Perform the addition inside the parentheses.
80 + 60 = 140
Following the order of operations.
4
Multiply the sum by 2.
2 × 140 = 280
To account for all four sides of the rectangular boundary.

Key Concept

The perimeter of a rectangle is the total distance around the outside edge, calculated using the formula 2 × (Length + Width).
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