Find the area of shaded regions in the given figures.
(b)
1.
(a)
15 cm
2 cm
15 cm
10 cm
20

Find the area of shaded regions in the given figures.
(b)
1.
(a)
15 cm
2 cm
15 cm
10 cm
20 cm
12cm
15 cm
25 cm
with barbed wire

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Quinn

2 thoughts on “Find the area of shaded regions in the given figures.<br />(b)<br />1.<br />(a)<br />15 cm<br />2 cm<br />15 cm<br />10 cm<br />20”

  1. Step-by-step explanation:

    (i) Outer length = 20 cm

    breadth = 16 cm

    Outer area = l x b

    = 20 x 16 = 320 cm^2

    Inner Length = 15 cm

    Inner Breadth = 10 cm

    Inner area = 15 x 10 = 150 cm^2

    Area of shaded region = Area of whole region – Area of unshaded region

    = 320 – 150 = 170 cm^2

    (ii) Outer Length = 30 cm

    Outer Breadth = 20 cm

    Outer area = l x b

    = 30 x 20 = 600 cm^2

    Inner Length = 12 cm and Inner Breadth = 12 cm

    Inner area = l x b = 12 x 12 = 144 cm^2

    Area of shaded region = Area of outer region – Area of inner region

    = 600 – 144 = 456 cm^2

    (iii) Area of shaded region = Area of outer region – Area of unshaded region

    = 40 x 40 – 32 x 15

    = 1600 – 480 = 1120 cm^2

    (iv) Area of shaded region = Area of outer region – Area of inner region

    = 40 x 40 – 15 x 15

    = 1600 – 225 = 1375 cm^2

    (v) Area of shaded portion

    = 2 x 20 + 2 x 8 + 2 x (12 + 2)

    = 40 + 16 + 28 = 84 cm^2

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