Question

Given: The base of the pyramid is a regular pentagon.13 ft5 ftWhat is the lateral area of the pyramid?O 100108.3O 150O162.5

Answer 1

The Solution.

The lateral area of the given pyramid is the total area of the 5 triangular faces of the pyramid.

So, we have

$\text{Lateral Area of the pyramid = 5(}\frac{1}{2}bh)$

In this case,

$b=5\text{ ft, h=13 ft}$

Substituting these values in the formula above, we get

$\text{Lateral Area of the pyramid = 5}\times\frac{1}{2}\times5\times13$$\text{Lateral Area of the pyramid = }\frac{25\times13}{2}=\frac{325}{2}=162.5ft^2$

Hence, the correct answer is 162.5 square feet (option 4).