Question

The area of a trapezoid is 16 square meters. One base is 2 meters long and the other is 6 meters long. Find the height of thetrapezoid.Step 1 of 2: Choose the correct formula:b = 21ihC = 6

Answer 1

Step 1

State the formula for the area(A) of a trapezoid

$A=\lbrack\frac{(length\text{ of base a }+length\text{ of base b)}}{2}\text{\rbrack}\times height\text{ of trapezoid(h)}$

Where,

$\begin{gathered} \text{base a=}2m \\ \text{base b= 6m} \\ A=16m^2 \end{gathered}$

Step 2

Find the height of the trapezoid

$16=(\frac{2+6}{2})\times h$$\begin{gathered} 16(2)=(\frac{2+6}{2})2h \\ 32=8h \\ \frac{8h}{8}=\frac{32}{8} \\ h=4\text{meters} \end{gathered}$

Hence the height of the trapezoid = 4 meters