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 = (a+b)/(2) h`

Put in the values you know


`390 = (23+29)/(2) h`

Add


`390 = (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=
`(1)/(2)* (sum\ of\ bases)* 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=(1)/(2)* 52* height`

390=26×height

height=15

Hence,height of trapezoid is:

15 km