Question

a trapezoid with base measure of 23 km and 29km an area of 390km . find the height of the trapezoid.

Answer 1

Hello!

To find the area of a trapezoid you use the equation

$A = \frac{a+b}{2} h$

Put in the values you know

$390 = \frac{23+29}{2} h$

Add

$390 = \frac{52}{2} h$

Divide

$390 = 26 * h$

Divide both sides by 26

15 = h

The answer is 15km

Hope this helps!

Answer 2

Answer with Step-by-step explanation:

The area of trapezoid is given by:

A=$\dfrac{1}{2}\times (sum\ of\ bases)\times height$

Here we are given Area=390 km²

Sum of bases=(23+29) km

                      = 52 km

We have to find the height of trapezoid

Putting all the given values in the formula of area of trapezoid

$390=\dfrac{1}{2}\times 52\times height$

390=26×height

height=15

Hence,height of trapezoid is:

15 km