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}* 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=((2+6)/(2))* h`
`\begin{gathered} 16(2)=((2+6)/(2))2h \\ 32=8h \\ (8h)/(8)=(32)/(8) \\ h=4\text{meters} \end{gathered}`

Hence the height of the trapezoid = 4 meters