If the area of the following figure is 46 square centimeters, what is the height of the trapezoid?

(drawing picture)

Question

If the area of the following figure is 46 square centimeters, what is the height of the trapezoid?

(drawing picture)

anonymous · Answer

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rogue · Answer

$$A_{trapezoid} = \frac {1}{2} h (b_1 + b_2)$$

rogue · Answer

$$46 = \frac {1}{2} h (8 + 15)$$
Now solve for h.

anonymous · Answer

How do I solve that D: ?

anonymous · Answer

Sorry, i'm really dumb when it comes to math :/ 

That's why i'm here for help I:

rogue · Answer

$$46 = \frac {1}{2} h (8 + 15)$$$$46 = \frac {1}{2} * 23h$$$$46 = \frac {23}{2} h $$$$46 = 11.5 h$$Divide both sides by 11.5 to isolate the h.$$\frac {46}{11.5} = \frac {11.5}{11.5} h$$$$4 cm = h$$

anonymous · Answer

Thank you so much :]