Question

Help?!

L.A. =

http://tinypic.com/r/rv8t50/6

Answer 1

L.A. = Lateral Area

Answer 2

whats it?

Answer 3

There are 5 faces: 2 triangles and 3 rectangles.
Are you with me on that?

Answer 4

yes

Answer 5

But we want only the lateral area which is the area of the 3 rectangular sides. Do you agree?

Answer 6

yes

Answer 7

Now the left rectangle has base 4 and height 8 so its area is...

Answer 8

32

Answer 9

The right rectangle has base 6 and height 8 so its area is....

Answer 10

48

Answer 11

The front rectangle has height 8 but we have to use the Pythagorean Theorem to find its base. Can you do that?

Answer 12

what exactly is the formula of the Pythagorean Theorem?

Answer 13

a^2 + b^2 = c^2 For find the hypotenuse of a right triangle.

Answer 14

*finding

Answer 15

okay... I'm not sure what exactly to plug in a^2 + b^2 = c^2

Answer 16

4^2+6^2=c^2

Answer 17

8 + 36 = c^2

Answer 18

No. 4^2=16

Answer 19

oh right, sorry ...

Answer 20

16 + 36 = c^2

Answer 21

\[c=\sqrt{52}=2\sqrt{13}\]

Answer 22

So the front rectangle has base 2sqrt13 and height 8 so it's area is...

Answer 23

57 ?