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Question -

In the following figures, find the area of the shaded portion.



Answer -

(i) Area of the rectangle = l × b
= 18 cm × (6 cm + 4 cm)
= 18 cm × 10 cm = 180 cm2
Area of right triangle

Area of right ∆BCE = 12 ×b × h
(1/2) ×8 × 10 =40 cm2
Area of the two right triangles
= 30 cm2 + 40 cm2 = 70 cm2
Area of the shaded portion
= 180 cm2 – 70 cm2 = 110 cm2
(ii) Area of the square PQRS = (Side)2
= (20)2 = 400 cm2
Area ofthe three triangles
= 50 cm2 + 100 cm2 + 100 cm2 =250 cm2
Area of the shaded portion
= 400 cm2 – 250 cm2 = 150 cm2

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