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?
To find the height of the trapezoid-shaped cross section, we can use the formula for the area of a trapezoid: A = (base1 + base2) * height / 2.
Given:
Area, A = 37.4 square meters
Base1 = 6.4 meters
Base2 = 12.3 meters
Substituting these values into the formula, we can solve for the height:
37.4 = (6.4 + 12.3) * height / 2
Now, we can simplify the equation:
37.4 = 18.7 * height / 2
To solve for the height, we can multiply both sides of the equation by 2:
2 * 37.4 = 18.7 * height
74.8 = 18.7 * height
Next, divide both sides of the equation by 18.7:
74.8 / 18.7 = height
Simplifying further:
height = 4
Therefore, the height of the trapezoid-shaped cross section is 4 meters. So, the correct answer is 4 meters, not 18.7 or 2.