The Solution.
The lateral area of the given pyramid is the total area of the 5 triangular faces of the pyramid.
So, we have
[tex]\text{Lateral Area of the pyramid = 5(}\frac{1}{2}bh)[/tex]
In this case,
[tex]b=5\text{ ft, h=13 ft}[/tex]
Substituting these values in the formula above, we get
[tex]\text{Lateral Area of the pyramid = 5}\times\frac{1}{2}\times5\times13[/tex][tex]\text{Lateral Area of the pyramid = }\frac{25\times13}{2}=\frac{325}{2}=162.5ft^2[/tex]
Hence, the correct answer is 162.5 square feet (option 4).
