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serious [3.7K]
1 year ago
12

Find the area of the shaded shape pls quickly​

Mathematics
2 answers:
soldier1979 [14.2K]1 year ago
6 0
I hope this helps you!!

professor190 [17]1 year ago
3 0

{\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 \times width

\qquad \sf  \dashrightarrow \: 20 \times 15

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

2. Area of first triangle :

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

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

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

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

3. Area of second triangle :

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

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

\qquad \sf  \dashrightarrow \: 3 \times 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}

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