Question

a of the trapezoid is 40 square units. what is the height of the trapezoid? 5 units 3 units 12 units 10 units

Explanation:

Step1: Recall the trapezoid area formula

The area formula of a trapezoid is \(A=\frac{(a + b)h}{2}\), where \(a\) and \(b\) are the lengths of the parallel sides, and \(h\) is the height. Here, \(a = 6\), \(b=10\), and \(A = 40\).

Step2: Substitute the values into the formula

Substitute \(A = 40\), \(a = 6\), and \(b = 10\) into \(A=\frac{(a + b)h}{2}\), we get \(40=\frac{(6 + 10)h}{2}\).

Step3: Simplify the equation

First, simplify the denominator: \(\frac{(6 + 10)h}{2}=\frac{16h}{2}=8h\). So the equation becomes \(40 = 8h\).

Step4: Solve for \(h\)

Divide both sides of the equation \(40 = 8h\) by \(8\), \(h=\frac{40}{8}=5\).

Answer:

5 units