find the area of the shaded portion
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- 100 cm2. B.
- 110 cm2. C.
- 120 cm2. D.
- 125 cm2. Medium. Solution. Verified by Toppr. Correct option is B) Area of shaded region = Area of rectangle − Area of both triangles. A1= Area of rectangle =180 cm2.
- A2= Area of triangle △AFE=30 cm2. A3= Area of triangle △CBE=40 cm2. Area of shaded region =180−30−40=110cm2.
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Answer:
area of ABCD
= 17cm × 10cm
= 170cm²
area of BCF
= 1/2 × BC × BF
= 1/2 × 10cm × 9cm
= 5 × 9 cm²
= 45 cm²
area of AFE
= 1/2 × AF × AE
= 1/2 × 8cm × 6cm
= 4 × 6 cm²
= 24cm²
area of shaded portion
= 170cm² - (45 + 24)cm²
= 170cm² - 69cm²
= 101cm²
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