Find the surface area of the square pyramid, Show your work please : )

105in²

Step-by-step explanation:

Surface area is the total area of the faces.

The faces of pyramid consist of triangles and a square

The area of a square can easily be calculated by squaring the side length

the square of this pyramid has a side length of 5

so

area of square = 5²

5² = 25

the area of the square is 25in²

Now to find the area of the triangles

All we have to do is find the area of one triangle and multiply that buy 4 ( because there are four triangle)

the area of a triangle can be calculated using this formula :

 where b = base and h = height

The triangles have a base length of 5 in and a height of 8 in

so

So the area of one triangle is 20 in²

Now we multiply 20 by 4 to find the area of all 4 triangles

20 * 4 = 80

So the total area of the triangles is 80in²

Finally we add the two areas together

Surface area = 80 + 25

80 + 25 = 105

Hence, the surface area is 105in²

16.9 times 2.85

step-by-step explanation:

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24