A triangular prism has an equilateral base with side length x inches. The height of the prism is four times as long as the side length.What is the lateral area of the prism?

The lateral area of a prism is the perimeter of its base multiplied by the prism’s height. The equilateral triangular base has perimeter 3x, and the prism’s height is 4x, so the lateral area is (3x)(4x) = 12x² square inches. The correct choice is 12x² square inches.

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