The figure is symmetric about the x- and y-axis. what is the area of the figure below

126 units²

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] = 42 units²

In rectangle BCQR: l = 6 and w = 3 ⇒

2 × = 2 × (6 × 3) = 36 units²

In trapezoid DEOP: = 6, = 10 and h = 3 ⇒

2 × = 2 × [3(6 + 10) ÷ 2] = 48 units²  

= 42 + 36 + 48 = 126 units²  

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