Question

A stone sculpture in a park is in the shape of a square pyramid as shown below.


The area of the base of the sculpture is 49 square feet. What is the lateral area of the sculpture in square feet?

Answer 1

can you tell me the length of the side of the base of the pyrmid?

Answer 2

i'm not sure how to get that

Answer 3

HINT: the area of the base of the SQUARE is 49...

Answer 4

7

Answer 5

good...

Answer 6

now notice that each of the lateral faces of the pyrmid consists of 4 triangles whose heights are 12 with base 7...
can you calculate the area for one of those faces? use Area=\(\frac{1}{2}(base)(height) \)

Answer 7

42

Answer 8

and since you have four of those, then the lateral surface area should be 4 times that answer you have above....:)

Answer 9

168...thank you!