Answer:
<em>126 units² </em>
Step-by-step explanation:
Draw 5 vertical lines BR, CQ, EO, GM, HL and we will have 4 trapezoids and 2 rectangles.
Trapezoid ABRS ≅ trapezoid IHLK
Trapezoid DEOP ≅ trapezoid FEON
Rectangle BCQR ≅ rectangle GHLM
Area of trapezoid is
Area of rectangle is
The total area of the figure is: ( 2 × + 2 ×
+ 2 ×
)
In trapezoid ABRS: = 6,
= 8 and h = 3 ⇒
2 × = 2 × [3(6 + 8) ÷ 2] = <u><em>42 units²</em></u>
In rectangle BCQR: l = 6 and w = 3 ⇒
2 × = 2 × (6 × 3) = <u><em>36 units²</em></u>
In trapezoid DEOP: = 6,
= 10 and h = 3 ⇒
2 × = 2 × [3(6 + 10) ÷ 2] = <u><em>48 units²</em></u>
= 42 + 36 + 48 = <em>126 units²</em>