Respuesta :

prestonshelton
Hello!

To find the area of a trapezoid you use the equation

[tex]A = \frac{a+b}{2} h[/tex]

Put in the values you know

[tex]390 = \frac{23+29}{2} h[/tex]

Add

[tex]390 = \frac{52}{2} h[/tex]

Divide

[tex]390 = 26 * h[/tex]

Divide both sides by 26

15 = h

The answer is 15km

Hope this helps!

Answer with Step-by-step explanation:

The area of trapezoid is given by:

A=[tex]\dfrac{1}{2}\times (sum\ of\ bases)\times height[/tex]

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

[tex]390=\dfrac{1}{2}\times 52\times height[/tex]

390=26×height

height=15

Hence,height of trapezoid is:

15 km

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