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Question

Difficulty: EasyPerimeter and Fencing Problems

A volunteer group is installing a wooden fence around a rectangular community garden. The garden measures 3030 feet in length and 1818 feet in width. How many feet of fencing are needed to completely enclose the garden?

Answer: 96 feet

Answer

96
The amount of fencing needed to completely enclose a rectangular space is equal to the perimeter of that space. The formula for the perimeter of a rectangle is P=2×(L+W)P = 2 \times (L + W). By substituting the given length (3030 feet) and width (1818 feet), the perimeter is 2×(30+18)=2×48=962 \times (30 + 18) = 2 \times 48 = 96 feet.

Step-by-Step Solution

1
Identify the formula for the perimeter of a rectangle.
P=2×(Length+Width)P = 2 \times (\text{Length} + \text{Width})
The total fencing needed to completely enclose a rectangular area is equal to its perimeter.
2
Substitute the given dimensions into the formula.
P=2×(30+18)=2×48=96P = 2 \times (30 + 18) = 2 \times 48 = 96
This calculates the total linear feet of the boundary for a garden with a length of 30 feet and a width of 18 feet.

Key Concept

The total length of fencing required to enclose a rectangular area is equal to its perimeter, calculated as 2×(length+width)2 \times (\text{length} + \text{width}).
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Topics

Perimeter and Fencing Problems

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