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

1. anonymous

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

2. marinos

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.

3. anonymous

How did you find the Height though?

4. Mertsj

What is the formula for the area of a trapezoid?

5. anonymous

$A=1/2h(b1+b2)$

6. marinos

@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.

7. anonymous

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