Question

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

(drawing picture)

Answer 1

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

Answer 2

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

Answer 3

How do I solve that D: ?

Answer 4

Sorry, i'm really dumb when it comes to math :/

That's why i'm here for help I:

Answer 5

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

Answer 6

Thank you so much :]