Question

Find the Lateral Area of the following figure. Leave the square root in the answer. Picture in comments

Answer 1

The answer must be in the form:\[L.A.=(?+?\sqrt{?})\]

Answer 2

@robtobey

Answer 3

x=7.07

Answer 4

Remember you need to keep the answer as a square root

Answer 5

so then x would equal the square root of 50?

Answer 6

Not 50

What is 4^2 + 6^2 ? then simplify the radical

Answer 7

16+36=52
Then I would take the square root of 52 to find x

Answer 8

I can simplify that by separating it into the square root of 4 times the square root of 13
So it would be 2 times the square root of 13?

Answer 9

Yes, but we can simplify the radical now or later.

I think it might be easier to simplify it later.

but this is how I simplify radicals. I divide by 2 or 3 or 5 to try and find perfect squares.

4^2 + 6^2 = x^2

16 +36 = sqrt(52)

52 / 2 = 26 / 2 = 13 so sqrt (4*13) = 2sqrt(13)

Answer 10

You are way ahead of me good job.

Answer 11

Now find the lateral area of the three sides.

Answer 12

So I would do 6*8 + 4*8 + 8 times the square root of 52
This simplified would be 80 + 8 times the square root of 52

Answer 13

Yes but now you have to simplify the radical...