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31. Find the area of quadrilateral PQRS shown in the figure:

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32. Find the area of a rhombus whose diagonals are of lengths 10 cm and 8.2 cm.

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33. Find the area of the polygon ABCDE as shown in the figure.

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34. The area of a trapezium shaped field is 480 m², the distance between two parallel sides is 15 m and one of the parallel side is 20 m. Find the other parallel side.

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35. The area of the rhombus is 240 cm² and one of the diagonals is 16 cm. Find the other diagonal.

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36. Find the area of the regular hexagon MNOPQR of side 5 cm.

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37. Why is it incorrect to call the solid shown here a cylinder?

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38. Find the total surface area of the following cuboids:

(i) ∵ l = 6 cm, b = 4 cm and h = 2 cm
∴ Total surface area of the cuboids = 2(lb + bh + hl)
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= $2 left parenthesis 24 plus 8 plus 12 right parenthesis space cm squared$
(ii) ∵ l = 4 cm, b = 4 cm and h = 10 cm
∴ Total surface area of the cuboid = 2(lb + bh + hl)
= 2(4 x 4 + 4 x 10 + 10 x 4) cm²
= 2(16 + 40 + 40) cm²
= 2 x 96 cm²
= 192 cm²

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39. Can we say that the total surface area of cuboid = lateral surface area + 2 × area of base?

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40. Find the surface area of cube A and lateral surface area of cube B.

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