Question

What is the answer to the question? Give explanation!!

Answer 1

The answer is:  " 119.04 cm² " .
_______________________
Explanation:
_______________________
There are 4 equal triangles.

The formula for the surface area, "SA", of a triangle, is:
_________________
SA = (1/2) (base length) * (height); 

that is:  SA = (1/2) * (b) * h).
____________________________
So, we plug in the given values in the figure;
_____________________________________
SA = (1/2) * (6.4 cm) * (6.1 cm) = 19.52 cm² ;

Then multiply this value by "4" (there are 4 "equal area triangles" on the surface of this figure):

19.52 cm² * 4 = 78.08 cm² .

The remaining surface area is the "square base" of this figure, which is a square with equal length and height;
 
 so the area = 6.4 cm * 6.4 cm = 40.96 cm².
_______________________________________
So add the following:

78.08 cm² + 40.96 cm² = 119.04 cm² .
_______________________________________
The answer is:  119.04 cm² .
_______________________________________