Question

Separate the trapezoid into figures whose areas you can find. Label the dimensions. 6 What is the area of the trapezoid? Show your work.

Answer 1

Given

Graph

Procedure

5) The figure can be separated into a triangle and a rectangle.

The trapezoid can be divided into two figures. A triangle and a rectangle.

6) Are of the trapezoid

$\begin{gathered} A_T=\frac{1}{2}bh \\ A_T=\frac{1}{2}\cdot2\cdot1.5 \\ A_T=1.5\text{ m}^2 \end{gathered}$$\begin{gathered} A_b=w\cdot l \\ A_b=3\cdot1.5 \\ A_b=4.5m^2 \end{gathered}$

Total area

$\begin{gathered} A=A_T+A_b \\ A=1.5+4.5 \\ A=6m^2 \end{gathered}$