Answer:
99.33ft^2
Explanation:
The surface area of a square pyramid is expressed as;
TSA = a²+2a√a²/4 + h²
Given that
a = 5ft
h = 7ft
Substitute
TSA = 5²+2(5)√5²/4 + 7²
TSA = 25+10√25/4 + 49
TSA = 25 + 10√(221/4)
TSA = 25 + 10(√55.25)
TSA = 25 + 10(7.433)
TSA = 25 + 74.33
TSA = 99.33ft^2
Hence the surface area of a square pyramid with side length 5 ft and slant height 7 ft is 99.33ft^2