Hard act problem need help (Math)

Test Preparation ACT Preparation
1

http://s8.postimg.org/rh78cyog5/image.jpg

There is the picture

Thanks guys

2

@Kinkam Just use the formula for the area of a trapezoid, and it’s straightforward.

Area = (1/2)(base1 + base2)height
Area = (1/2)(10+12)6
Area = 66

Answer: E

Also btw, the “2” labelings you made are incorrect (Why?).

3

To add to MITer,
1/2 × (B1+B2) translated is just the average of the two bases.

An easy way to remember how to find the Area of a Trapezoid is
the average of the bases times the height.

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Thanks guys! mmk that advice really helped.

@MITer94 I don’t know why I made that now that I think about it, I was over thinking it and “tried” to use stuff that I was learning in Pre-Calc lol

I googled the formula for area of a trapezoid but for some odd reason, I got 72. That’s why I circled it, and each time I put it in my calculator, I would get 72. It was probably some order-of-operations type error. If you look at the side, I added up the two bases, multiplied it by 6 and divided it. however, each time I did that, I got 72. It was so confusing as to why the formula didn’t work so I just ended up posting here. But now I know that the you multiply the height by the AVERAGE of the bases, thanks to you guys!