a cross section of a basement is shaped like a trapaziod. it has an area of 37.4 square meters, one base is 6.4 meters and the other base is 12.3 meters long. what is the height of the cross section?

is it 18.7 or 2? or am i wrong?

(6.4+12.3)/2 h = 37.4

9.35h = 37.4
h = 4

what is the 9.35h from?

nevermind i didvided 9.35 by 2

but how did u get the 4?

To find the height of the cross section, we can use the formula for the area of a trapezoid:

Area = (1/2) * (base1 + base2) * height

We are given that the area is 37.4 square meters, base1 is 6.4 meters, and base2 is 12.3 meters. Plugging these values into the formula, we have:

37.4 = (1/2) * (6.4 + 12.3) * height

Simplifying the equation:

37.4 = (1/2) * 18.7 * height

Multiplying both sides of the equation by 2:

74.8 = 18.7 * height

Dividing both sides of the equation by 18.7:

height = 74.8 / 18.7

height = 4

Therefore, the height of the cross section is 4 meters.

So, it seems you are wrong in your assumptions of 18.7 or 2 meters.