Answer:
1725 square feet
Explanations:
The formula for calculating the surface area of a square-based pyramid is expressed as:
[tex]A=a^2+2a\sqrt{\frac{a^2}{4}+h^2}[/tex]
where:
a is the side length of the square
h is the height
Given the following parameters:
a = 30ft
h = 20ft
Substitute the given parameters to have:
[tex]\begin{gathered} A=a^2+2a\sqrt{\frac{a^2}{4}+h^2} \\ A=\frac{30^2}{4}+2\left(30\right)\sqrt{\frac{30^2}{4}+20^2} \\ A=\frac{900}{4}+60\sqrt{\frac{900}{4}+400} \\ A=225+60\sqrt{225+400} \\ A=225+60\sqrt{625} \\ A=225+60\lparen25) \\ A=225+1500 \\ A=1725ft^2 \end{gathered}[/tex]
Hence the total surface area is 1725 square feet
