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Geometry help please?

Asked by Val123 (12734points) June 23rd, 2010

It’s me again. I’ve learned this stuff in the past, and I know there are relatively simple formula’s for figuring them out, but the online courses seem to go out of their way to make things sound more complicated and important than they are.

What formulas do I use to find the following:

Find the area of a regular pentagon with side equal to 3 and apothem equal to K. (apothem kills me! I feel like I’m trying to say ‘possum’ but can’t!)

Find the area of a regular hexagon with a 48-inch perimeter.

Find the area of a triangle with base of 10 inches and altitude to the base of 16 inches.

Find the area of a parallelogram with sides of 6 and 12 and an angle of 60°.

Find the area of a trapezoid with bases of 8 and 16 and a height of 10.

LAST QUESTION! The student brought this to me because it seemed counter-intuitive. It’s a square so you would assume the angles would be =, but the answer key says it’s >

Choose the relationship symbol to make a true statement.

<
=
>

LE ___ VO

Can’t post the pic, but it was a square with 4” sides. Starting at top left and moving to the right and on around, the angles were labeld E V O L.
Then there was a diagonal line from L (bottom left) to V. At L the line was labeld 45 degrees At V it’s labeld 46 degrees…. wait. I just saw the discrepancy in the degrees. Is the > answer due to the discrepancy in degrees? It’s kind of making sense now. Please help anyway….

THANK YOU!!!

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