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 25 square feet. What is the lateral area of the sculpture in square feet?

120

162.5

130

155

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 25 square feet. What is the lateral area of the sculpture in square feet? 

 120

 162.5

 130

 155

hang254 · Answer

attachment

anonymous · Answer

[Base Area] +
1/2 × Perimeter × [Slant Length]

anonymous · Answer

Base area = 25.... so side of the base = 5

and the slant height is given as l=13

SO, lateral area = Area of 4 triangles that form the lateral area

= 4 ( 1/2 * s * l)

= 2sl

= 2*5*13

=130

hang254 · Answer

i got 162.5

hang254 · Answer

i see what you did there

hang254 · Answer

But, which way is correct???

anonymous · Answer

Nope. the formula @telliott99  gave is for total area... question asks only the the lateral area.. 

I am sure that 130 is the correct answer...

hang254 · Answer

Alright, thanks for the explanation, i understand it now. :)