Question

A rectangular pyramid has a base with sides 14 ft. and 13 ft. The slant height where the base has the longer side is 12 ft., and the slant height where the base has the shorter side is 13 ft. Which of the following correctly calculates the lateral surface area of the pyramid?(1 point)
Responses

519 ft.2

519 ft. squared

337 ft.2

337 ft. squared

248 ft.2

248 ft. squared

182 ft.2

Answer 1

Each pair of opposite triangular faces have the same base and slant height, so

Total lateral area = 2*(1/2*14*12) + 2*(1/2*13*13)
= 14*12 + 13*13
= 168 + 169
= 337 ft².

So 337 ft².