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Each side of the base of a square pyramid is 12 units. If the slant height is 23 units, what is its lateral area?

Each side of the base of a square pyramid is 1212 units. If the slant height is 2323 units, what is its lateral area?

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Full solution

Q. Each side of the base of a square pyramid is 1212 units. If the slant height is 2323 units, what is its lateral area?
  1. Identify Formula: Identify the formula for the lateral area of a square pyramid. The lateral area LALA of a square pyramid is given by the formula LA=perimeter of base×slant height/2LA = \text{perimeter of base} \times \text{slant height} / 2. Calculation: Perimeter of the square base = 4×side=4×12=484 \times \text{side} = 4 \times 12 = 48 units.
  2. Calculate Lateral Area: Calculate the lateral area using the identified formula.\newlineUsing the formula LA=perimeter×slant height2LA = \frac{\text{perimeter} \times \text{slant height}}{2}, substitute the values.\newlineCalculation: LA=48×232=552LA = \frac{48 \times 23}{2} = 552 square units.

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