anonymous one year ago The equation below shows the area of a trapezoid, A, with a height of 9 cm, and one base 35 cm. : A = 9 over 2(b + 35) Which of the following formulas correctly solves for the other base, b? a. b = 2A over 9 + 35 b. b = 2 multiplied by A over 9 - 35 c. b = 2 multiplied by A plus 35, all over 9 d. b = 2 multiplied by A minus 35, all over 9

1. anonymous

So $\large \bf A~=~\frac{9}{2} (b+35)$

2. anonymous

yes

3. anonymous

I know it's either B or D

4. anonymous

First step is to get "b+35" by itself. You can do so by multiplying the inverse of the fraction 9/2 on both sides.

5. anonymous

2a/9

6. anonymous

Correct. So $\large \bf \frac{2A}{9}~=~b+35$ To get the b alone we subtract the 35 over

7. anonymous

but does it go on top with the 2a or next to the fraction

8. anonymous

It will be next to the fraction.

9. anonymous

Thank you sooo much!

10. anonymous

$\huge \color{aqua}N\color{fuchsia}o \space \color{lime}P \color{orange}r \color{blue}o \color{maroon}b \color{red}l \color{olive}e \color{purple}m \ddot\smile$