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12. Find the area of the region shown by dividing it into two trapezoids.271371812a.c.810sq.units546sq.units540sq.units1092 sq. unitsb.d.

User Charbinary
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1 Answer

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The area of the region is the sum of the two trapezoids

Area of the trapezoid to the left :


\begin{gathered} \text{Area}=(1)/(2)(a+b)** h \\ \text{Area}=(1)/(2)(7+27)*18 \\ =(1)/(2)*34*18 \\ =306\text{ sq. units} \end{gathered}

Area of the trapezoid to the right:


\begin{gathered} \text{Area}=(1)/(2)(a+b)** h \\ =(1)/(2)(13+27)*12 \\ \text{Area}=(1)/(2)*40*12 \\ =240\text{ sq. units} \end{gathered}

Therefore, the area of the region is calculated by:


\begin{gathered} \text{Area of region=Area of left trapezoid + Area of right trapezoid} \\ =(306+240)\text{ sq. units} \\ =546\text{ sq. units} \end{gathered}

The answer is 546 sq. units [Option B]

User Xplora
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