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Find the area of the shaded shape pls quickly​

Find the area of the shaded shape pls quickly​-example-1

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Find the area of the shaded shape pls quickly​-example-1
User Dean Hiller
by
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{\qquad\qquad\huge\underline{{\sf Answer}}}

Let's solve ~

Area of shaded region is equal to :

Area of rectangle - Area of two triangles ~

1. Area of rectangle :


\qquad \sf  \dashrightarrow \: length * width


\qquad \sf  \dashrightarrow \: 20 * 15


\qquad \sf  \dashrightarrow \: 300 \: \: cm {}^(2)

2. Area of first triangle :


\qquad \sf  \dashrightarrow \: \cfrac{1}{2} * (base) * (height)


\qquad \sf  \dashrightarrow \: \cfrac{1}{2} * (20 - 18) * (15)


\qquad \sf  \dashrightarrow \: \cfrac{1}{2} * (2) * (15)


\qquad \sf  \dashrightarrow \: 15 \: \: cm {}^(2)

3. Area of second triangle :


\qquad \sf  \dashrightarrow \: \cfrac{1}{2} * (base) * (height)


\qquad \sf  \dashrightarrow \: \cfrac{1}{2} * (6) *(20)


\qquad \sf  \dashrightarrow \: 3 * 20


\qquad \sf  \dashrightarrow \: 60 \: \: cm {}^(2)

Area of shaded region is :


\qquad \sf  \dashrightarrow \: 300 - (15 + 60)


\qquad \sf  \dashrightarrow \: 300 - 75


\qquad \sf  \dashrightarrow \: 225 \: \: cm {}^(2)

User Repeat
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4.3k points