Find the area of shaded regions in the given figures.(b)1.(a)15 cm2 cm15 cm10 cm20 cm12cm15 cm25 cmwith barbed wire About the author Quinn
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 Reply
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