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- iwanttogotostanford

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)

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- iwanttogotostanford

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- iwanttogotostanford

|dw:1443994015174:dw|

- imqwerty

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

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- iwanttogotostanford

ok, then would i subtract??

- iwanttogotostanford

16-8?

- iwanttogotostanford

- 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?

- iwanttogotostanford

1/2 b *h

- imqwerty

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

- anonymous

\[\frac{ 1 }{ 2 } \times 16=?\]

- anonymous

|dw:1444005708199:dw|

- 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.

- iwanttogotostanford

I'm still confused

- zepdrix

hmm :d

- iwanttogotostanford

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

- 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.

- 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! :)

- iwanttogotostanford

okay @zepdrix thanks!

- iwanttogotostanford

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

- 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.

- iwanttogotostanford

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

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