Question

find the lateral area of the prism. the base is an equilateral tri
8 yd.
5 yd.
square square yards

Explanation:

Step1: Recall lateral area formula for prism

The lateral area \( LA \) of a prism is given by the perimeter of the base \( P \) multiplied by the height (length) of the prism \( h \), i.e., \( LA = P \times h \).

Step2: Determine base perimeter

The base is an equilateral triangle with side length \( s = 5 \) yd. The perimeter \( P \) of an equilateral triangle is \( 3s \), so \( P = 3 \times 5 = 15 \) yd.

Step3: Calculate lateral area

The height (length) of the prism \( h = 8 \) yd. Using the formula \( LA = P \times h \), we substitute \( P = 15 \) and \( h = 8 \): \( LA = 15 \times 8 = 120 \).

Answer:

120