## iwanttogotostanford one year ago SAT PRACTICE QUESTION URGENT: if the area of rectangle ABDE is 16 square inches, and C is the midpoint of segment BD, what is the area, in square inches, of triangle ACE? (DRAWN BELOW)

1. iwanttogotostanford

|dw:1443994015174:dw|

2. iwanttogotostanford

@imqwerty @Nnesha @zepdrix

3. imqwerty

|dw:1443994319720:dw| area of rect=h x b =16 area of triangle =1/2 x h x b=16/2=8sq inches

4. iwanttogotostanford

ok, then would i subtract??

5. iwanttogotostanford

16-8?

6. iwanttogotostanford

@imqwerty

7. imqwerty

we need to find the area of triangle ACE what will be its area if its height is h and base length is b?

8. iwanttogotostanford

1/2 b *h

9. imqwerty

yes, what is area of rectangle with length b and width h?

10. anonymous

$\frac{ 1 }{ 2 } \times 16=?$

11. anonymous

|dw:1444005708199:dw|

12. zepdrix

|dw:1443995204694:dw|Sorry to butt in :) But I just wanted to share my way of doing this. Based on the information they gave us, if we label the sides like this, Then we have 4 equivalent triangles. So the area we're looking for is just 2 of those 4 triangles.

13. iwanttogotostanford

I'm still confused

14. zepdrix

hmm :d

15. iwanttogotostanford

oh ok @zepdrix so how do i find the area of those 4 triangles?

16. zepdrix

The area of the larger figure is 16. So you have 4 equivalent triangles giving you 16. So then each triangle has an area of 4. 16 / 4 = 4 |dw:1443999873502:dw|So this area down here is just two of the triangles. Which is 4 + 4 = 8.

17. zepdrix

@iwanttogotostanford SAT Math is really hard in my opinion. The ACT math is a bunch of math problems. The SAT math is a bunch of puzzles that you have to figure out in order to get to the math problems. So keep practicing! :)

18. iwanttogotostanford

okay @zepdrix thanks!

19. iwanttogotostanford

which one do you think the ACT or the SAT for someone whose weak point is math?

20. zepdrix

I think regardless of your math ability, the ACT is just much easier. In ACT, they'll give you algebraic expressions that you need to solve. In SAT, you have to solve a riddle to set up the algebraic expression and then then solve.

21. iwanttogotostanford

@zepdrix thanks. I feel like I like the ACT better too