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Mathematics : Mensuration

Short Answer Type

21.

Length of the fence of a trapezium shaped field ABCD is 120 m. If BC = 48 cm, CD = 17 m and AD = 40 m, find the area of this field. Side AB is perpendicular to the parallel sides AD and BC.

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22.

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 field.

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23.

The diagonals of a rhombus are 7.5 cm and 12 cm. Find its area.

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24. Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 cm. If one of its diagonals is 8 cm long, find the length of the other diagonal.

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Long Answer Type

25. 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 m² is Rs 4.

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26.

Mohan wants to buy a trapezium shaped field. Its side along the river is parallel to and twice the side along road. If the area of his field is 10500 m² and the perpendicular distance between the two parallel sides is 100 m, find the length of the side along the river.