Question

http://www.artofproblemsolving.com/Wiki/index.php/2009_AMC_8_Problems Can anyone explain how to solve question 25 to me? http://www.artofproblemsolving.com/Wiki/index.php/2009_AMC_8_Problems Can anyone explain how to solve question 25 to me? @Mathematics

Answer 1

oh man, these look really tough

Answer 2

I just need 25.

Answer 3

Is AMC 8 tomorrow? Because AMC 8 is tomorrow for my school

Answer 4

Yep...last minute study panic XD I want to get 25.

Answer 5

Good luck!

Answer 6

This question is actually not very hard

Answer 7

First find height D

Answer 8

which is 1- 1/2 - 1/3 - 1/17

Answer 9

I got an answer of 6...but I want to check this.

Answer 10

Well we know the top is the same as the bottom and both are 4 square ft. Then, if we look at it from the side, we know two sides are (1/2 x 1) so that's another square foot (9 total now). Finally, you need to look at it from the last two sides. And those two sides would be: \[2\times((1\times {1 \over 2}) + (1\times{1 \over 3}) + (1\times{1 \over 17}) + (1\times{11 \over 102}))\] which, after solving, gets 11 square ft. or answer E.

Answer 11

but the last two sides are overlapping...so wouldn't they equal 1 each?

Answer 12

oh...nevermind...I get it. thank you!

Answer 13

If you want to see their solution, which doesn't explain how to get the heights very well is here. http://www.artofproblemsolving.com/Wiki/index.php/2009_AMC_8_Problems/Problem_25

Answer 14

8 + 1 + 2/3 + 3/17 + 33/102 + 5/6
A - D + A-B + B-C = 2A - D - C = 1 - 11/102 - 1/17 = 5/6
E is the answer

Answer 15

AH! I totally get it now! THANKS A TON!!!! :D

Answer 16

No problem. Wish you luck

Answer 17

thanks!