Question

The area of a trapezoid is 69 inches squared. Its bases have lengths 9 inches and 14 inches. Find the height of the trapezoid.

Answer 1

\[area=\frac{ 14+9 }{ 2 }*h=69\]
find h.

Answer 2

The area of a trapezoid is given by the formula \[A=\frac{ \left( b_{1}+b_{2} \right)h }{ 2}\] where \[A\] is the area, \[b_{1},b_{2}\] are the bases and \[h\] is the height.
Therefore, \[69=\frac{ \left( 9+14 \right)h }{ 2 }\] and so \[h=6\] inches.

Answer 3

How did you find the Height though?

Answer 4

What is the formula for the area of a trapezoid?

Answer 5

\[A=1/2h(b1+b2)\]

Answer 6

@valiant1
We have \[69=\frac{ \left( 9+14 \right)h }{ 2 }\] which implies \[69=\frac{ 23h }{ 2 }\] so \[h=\frac{ 2 }{ 23 }\times69 =6\] Hope this answers your question.

Answer 7

Aww ok. and one more question how did you know to flip it?