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Using Euler’s formula find the
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Can a polyhedron have 10 faces, 20 edges and 15
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A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger
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Mrs. Kaushik has a square plot with the measurement as shown in the figure. She wants to construct a house in the middle of the plot. A garden is developedaround the house. Find the total cost of developing a garden around the house at the rate of Rs 55 per
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The shape of a garden is rectangular in the middle and semi circular at the ends as shown in the diagram. Find the area and the perimeter of this garden [Length of rectangle is 20 – (3.5 + 3.5) metres].
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A flooring tile has the shape of a parallelogram whose base is 24 cm and the corresponding height is 10 cm. How many such tiles are required to cover a floor of area 1080 `m^2`? (If required you can split the tiles in whatever way you want to fill up the
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An ant is moving around a few food pieces of different shapes scattered on the floor. For which food-piece would the ant have to take a longer round? Remember,circumference of a circle can be obtained by using the expression c = 2πr, where r is the radius of the
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Find the area of quadrilateral PQRS shown in Fig 11.11.
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Find the area of a rhombus whose diagonals are of lengths 10 cm and 8.2
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The area of a trapezium shaped field is 480 `m^2` , the distance between two parallel sides is 15 m and one of the parallel side is 20 m. Find the other parallel
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The area of a rhombus is 240 `cm^2` and one of the diagonals is 16 cm. Find the other
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There is a regular hexagon MNOPQR of side 5 cm .Aman and Ridhima divided it in two different
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The shape of the top surface of a table is a trapezium. Find its area if its parallel sides are 1 m and 1.2 m and perpendicular distance between them is 0.8 m.
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The area of a trapezium is 34 `cm^2` and the length of one of the parallel sides is 10 cm and its height is 4 cm. Find the length of the other parallel
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Length of the fence of a trapezium shaped field ABCD is 120 m. If BC = 48 m, CD = 17 m and AD = 40 m, find the area of this field. Side AB is perpendicular to the parallel sides AD and
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The diagonal of a quadrilateral shaped field is 24 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 13 m. Find the area of the
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The diagonals of a rhombus are 7.5 cm and 12 cm. Find its
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Find the area of a rhombus whose side is 6 cm and whose altitude is 4 cm. If one of its diagonals is 8 cm long, find the length of the other
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The floor of a building consists of 3000 tiles which are rhombus shaped and each of its diagonals are 45 cm and 30 cm in length. Find the total cost of polishing the floor,if the cost per `m^2` is Rs
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Mohan wants to buy a trapezium shaped field. Its side along the river is parallel to and twice the side along the road. If the area of this field is 10500 `m^2` and the perpendicular distance between the two parallel sides is 100 m, find the length of the side along the
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