Read and answer the question:

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

Question

Read and answer the question:

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

BlackTom AI · Accepted Answer

Begin by identifying the geometric setup: a square plot with each side measuring 50 feet. For any square, the perimeter is the total distance around the shape, which is found by adding up all four sides or by using the formula P = 4 × side length.

Option 1: Perimeter = 50 feet × 4. This expression correctly uses four sides of length 50 feet each, which aligns with P = 4 × 50. It yields the correct total fence length when evaluated.

Option 2: Perimeter = 50 feet × 50 feet. This would multiply length by width, which is a computation for area, not for perimeter. It would give 2,500 square feet, not a linear measure of fence.

Option 3: Perimeter = 200 feet × 4. This would imply multiplying a total length (200 feet) by 4, which overcounts and does not correspond to any standard perimeter formula for a square. It doubles the already-calculated perimeter rather than giving the actual boundary length.

Option 4: Perimeter = 50 feet. Expressing the perimeter as just a single side length ignores the other three sides entirely and therefore cannot represent the total boundary length of the square.

In summary, the correct way to express the fence length for a square with side 50 feet is to add all four equal sides, which is captured by 50 feet × 4. The other options either mix in area calculations, misapply multiplication, or omit sides entirely, leading to incorrect results.

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

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