# Finding the area of the shaded region.

• January 1st 2011, 01:20 PM
purplesky828
Finding the area of the shaded region.
Hi I'm a college student and I'm having a bit of difficulty with my Solid Mensuration homework. Can someone help me out?

I'm trying to find the area of the shaded region in the problems which I've posted pictures of in this thread.

I'm having a hard time because I think the data given is insufficient, but maybe I'm wrong so I'm asking for help :)

Thank you very much for any help you can give :D
• January 1st 2011, 01:26 PM
mr fantastic
Quote:

Originally Posted by purplesky828
Hi I'm a college student and I'm having a bit of difficulty with my Solid Mensuration homework. Can someone help me out?

I've attached a picture of the problems I'm confused by.

Thank you very much for any help you can give :D

What exactly are you trying to do? Please post the whole question, not just the pictures.

Edit: The OP has since edited his/her post.
• January 1st 2011, 02:06 PM
Plato
Quote:

Originally Posted by purplesky828
I'm trying to find the area of the shaded region in the problems which I've posted pictures of in this thread.
I'm having a hard time because I think the data given is insufficient, but maybe I'm wrong so I'm asking for help

I agree with you that technically the data is insufficient.
However, a good guess on #1 would be $(85)(42.5)-\dfrac{(42.5)^2}{2}$.

Do you see why?
• January 1st 2011, 06:07 PM
purplesky828
Quote:

Originally Posted by Plato
I agree with you that technically the data is insufficient.
However, a good guess on #1 would be $(85)(42.5)-\dfrac{(42.5)^2}{2}$.

Do you see why?

Yes I see how it would be a good guess. I was thinking of the same thing but I was unsure because the data wasn't given.

Thank you very much for your help! :D
• January 4th 2011, 01:24 AM
earboth
Quote:

Originally Posted by purplesky828
Hi I'm a college student and I'm having a bit of difficulty with my Solid Mensuration homework. Can someone help me out?

I'm trying to find the area of the shaded region in the problems which I've posted pictures of in this thread.

I'm having a hard time because I think the data given is insufficient, but maybe I'm wrong so I'm asking for help :)

Thank you very much for any help you can give :D

To #2:

1. I assume that the white rectangle has a width of 1 m.

2. I've modified your sketch alittle bit. If the triangles marked in red are isosceles right triangles you can compose them to a complete square.