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

Question

4everaddicted2anime · Answer

attachment

4everaddicted2anime · Answer

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

4everaddicted2anime · Answer

@robtobey

retireed · Answer

|dw:1457632973355:dw|

4everaddicted2anime · Answer

x=7.07

retireed · Answer

|dw:1457633194969:dw|

retireed · Answer

Remember you need to keep the answer as a square root

4everaddicted2anime · Answer

so then x would equal the square root of 50?

retireed · Answer

Not 50 

    What is 4^2 + 6^2 ?  then simplify the radical

4everaddicted2anime · Answer

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

4everaddicted2anime · Answer

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?

retireed · Answer

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)

retireed · Answer

You are way ahead of me good job.

retireed · Answer

Now find the lateral area of the three sides.

4everaddicted2anime · Answer

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

retireed · Answer

Yes but now you have to simplify the radical...

|dw:1457634125459:dw|