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Find the area of the shaded part of the figure if a=6, b=7, c=4. (I need help on this)

Find the area of the shaded part of the figure if a=6, b=7, c=4. (I need help on this-example-1
User Eightball
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1 Answer

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To obtain the area(A) of the shaded part of the figure, we will sum up the area of the triangle and the area of the rectangle.

Let us solve the area of the triangle(A1) first,

The formula for the area of the triangle is,


A_1=(1)/(2)* base*\text{height}

where,


\begin{gathered} base=b=7 \\ height=a=6 \end{gathered}

Therefore,


A_1=(1)/(2)*7*6=21unit^2

Hence, the area of the triangle is 21 unit².

Let us now solve for the area of the rectangle(A2)

The formula for the area of the rectangle is


A_2=\text{length}* width

Where,


\begin{gathered} \text{length}=b=7 \\ \text{width}=c=4 \end{gathered}

Therefore,


\begin{gathered} A_2=7*4=28 \\ \therefore A_2=28\text{unit}^2 \end{gathered}

Hence, the area of the rectangle is 28unit².

Finally, the total area of the shaded area is


\begin{gathered} A=A_1+A_2=21+28=49 \\ \therefore A=49unit^2 \end{gathered}

Hence, the area of the shaded part is 49unit² (OPTION A).

User Josh Woelfel
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