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The rectangular piece of land measures 2...

The rectangular piece of land measures 2 m by 3 m. Each side is to be fenced with three rows of wire. What is the length of wire needed?

A

45m

B

44m

C

30m

D

21m

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of finding the length of wire needed to fence a rectangular piece of land measuring 2 m by 3 m with three rows of wire, we can follow these steps: ### Step 1: Identify the dimensions of the rectangle. The dimensions of the rectangular piece of land are: - Length (L) = 3 m - Width (W) = 2 m ### Step 2: Calculate the perimeter of the rectangle. The formula for the perimeter (P) of a rectangle is given by: \[ P = 2 \times (L + W) \] Substituting the values: \[ P = 2 \times (3 \, \text{m} + 2 \, \text{m}) \] \[ P = 2 \times 5 \, \text{m} \] \[ P = 10 \, \text{m} \] ### Step 3: Calculate the total length of wire needed. Since each side is to be fenced with three rows of wire, we need to multiply the perimeter by 3: \[ \text{Total wire needed} = 3 \times P \] \[ \text{Total wire needed} = 3 \times 10 \, \text{m} \] \[ \text{Total wire needed} = 30 \, \text{m} \] ### Final Answer: The total length of wire needed is **30 meters**. ---
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