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.
what is the lateral area of the prism?
○ 73.5 feet
○ 73.5 square feet
○ 84 feet
○ 84 square feet

Explanation:

Step1: Find base perimeter

The triangular base has 3 congruent sides of 4 ft each.
Perimeter $P = 3 \times 4 = 12$ feet

Step2: Identify prism length

The distance between bases is the prism length $l = 7$ feet

Step3: Calculate lateral area

Lateral area of a prism is $P \times l$.
$\text{Lateral Area} = 12 \times 7 = 84$ square feet

Answer:

84 square feet