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(}(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}*(1)/(2)*5*13`
`\text{Lateral Area of the pyramid = }(25*13)/(2)=(325)/(2)=162.5ft^2`

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