Read and answer the question:

Which equation shows the length of fence needed for the garden?

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Read and answer the question:

Which equation shows the length of fence needed for the garden?

BlackTom AI · Accepted Answer

First, I’ll restate what the problem is asking: determine the equation that represents the length of fence needed for the garden, i.e., the perimeter.
Option 1: Perimeter = 50 feet x 4. This expresses multiplying the side length (50 feet) by the number of sides in a square garden (4), which is a valid way to compute the perimeter. It yields 200 feet, matching the total fencing required around all four sides.
Option 2: Perimeter = 50 feet x 50 feet. This would imply multiplying two dimensions of the garden (length by width) as if calculating area, not perimeter. Using 50 by 50 would give 2500 square feet, which does not describe a length and is incorrect for perimeter.
Option 3: Perimeter = 200 feet x 4. This would imply already having the perimeter as 200 feet and then multiplying by 4 again, which overly scales the value and does not reflect the standard perimeter calculation. It’s effectively incorrect in dimensional reasoning.
Option 4: Perimeter = 50 feet. This would only account for a single side, ignoring the other three sides of the garden, so it severely underestimates the required fencing.
In summary, the concept at play is perimeter as the total distance around a shape. Multiplying a side length by the number of sides is a correct general approach for regular polygons like a square. The other options either confuse area with perimeter, apply an extra multiplication, or omit sides, leading to incorrect results.

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Read and answer the question: Which equation shows the length of fence needed for the garden?

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