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Area of combined figures
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Example 1: Anand bought a square plot of side 45 m, adjacent to this Akash bought a rectangular plot of length 50 m and breadth 60 m. Both paid the same amount. Who is benefited ? Solution Given: For square plot(1) Side(S) = 45m For Rectangular plot(2) Length(L) = 50 m & Breadth(B) = 60 m Area of square plot of Anand (1) = S x S = 45 x 45 = 2025 m2 Area of Rectangular plot of Akash (2) = L x B = 50 x 60 = 3000 m2 Area of rectangular plot(3000 m2) is more than the square plot(2025 m2) So, Akash is benefited
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Example 2: Which has larger area? A right triangle with the length of the sides containing the right angle being 55 cm and 40 cm or a square of length 80 cm. Solution Given: Side of square (S) = 80 cm Dimensions of triangle (B) & (H) = 55 cm and 40 cm Area of square = S x S = 80 x 80 = 6400 cm2 Area of Triangle = Area of square(6400 cm2 ) is more than the area of triangle(1100 cm2 ) So, Square has larger area 20 x b x h = x 55 x 40 = 55 x 20 = 1100 cm2
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Try these Mani bought a triangular plot of base 30 m and height 23 m, adjacent to this Ravi bought a rectangular plot of length 60 m and breadth 20 m for the same price. Find out who is benefited and how many sq. m. are more for him?
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