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Question
a triangular prism has bases with three congruent sides, each measuring 4 feet. the height of each triangle is approximately 3.5 feet. the distance between the triangular bases is 7 feet. 4 ft 7 ft what is the lateral area of the prism? 73.5 feet 73.5 square feet 84 feet 84 square feet
Step1: Find base perimeter
The triangular base has 3 congruent sides of 4 ft each, so perimeter $P = 3 \times 4 = 12$ feet.
Step2: Identify prism height
The distance between bases is the prism height $h = 7$ feet.
Step3: Calculate lateral area
Lateral area of a prism is $P \times h$. Substitute values: $12 \times 7 = 84$ square feet.
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84 square feet