Question

find the area of trapezoid FGHI with vertices G and H that are right angles and sides 10 cm, 12 cm, and 18 cm as shown.

Answer 1

ANSWER:

The area of trapezoid is

$A_T=198\operatorname{cm}^2$

STEP-BY-STEP EXPLANATION:

We must divide the figure in two as follows to calculate the area of the trapezoid:

Therefore, we must calculate the area of 1 and area of 2 and the sum of both areas would be the area of the trapezoid:

For the Area 1:

$\begin{gathered} A_1=w\cdot l \\ A_1=10\cdot18 \\ A_1=180\operatorname{cm} \end{gathered}$

For the Area 2:

$\begin{gathered} A_2=\frac{b\cdot h}{2} \\ A_2=\frac{18\cdot2}{2} \\ A_2=18\operatorname{cm}^2 \end{gathered}$

The total area would then be:

$\begin{gathered} A_T=A_1+A_2 \\ A_T=180+18 \\ A_T=198\operatorname{cm}^2 \end{gathered}$