Answer:
Area of the Square pyramid=[tex]108.8 inches^2[/tex]
Step-by-step explanation:
Area of a a square pyramid:
[tex]a^2+2a\sqrt{\frac{a^2}{4}+h^2 }[/tex]
Base: [tex]side(a)= 5 inches[/tex]
[tex]Height=8 inches[/tex]
Putting the values in the formula:
Area = [tex]5^2+2(5)\sqrt{\frac{5^2}{4}+8^2 }[/tex]
[tex]=25+10\sqrt{\frac{25}{4}+64 }\\\\ =25+10\sqrt{6.25+64}\\\\ =25+10\sqrt{70.25}\\\\ =25+10(8.38)\\\\=25+83.8\\\\=108.8inches^2[/tex]
Area of the Square pyramid is: [tex]108.8 inches^2[/tex]
