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sertanlavr [38]
3 years ago
5

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

Mathematics
2 answers:
igor_vitrenko [27]3 years ago
4 0

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

cupoosta [38]3 years ago
3 0
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!
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