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
Answers
Answer:
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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