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Mensuration 2d
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A1 and A2 are two regular polygons. The sum of all the interior angles of A1 is 1080°. Each interior angle of A2 exceeds its exterior angle by 132°. The sum of the number of sides A1 and A2 is:

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The sum of the interior angles of a regular polygon A is 1260 degrees and each interior angle of a regular polygon B is  degrees. The sum of the number of sides of polygons A and B is:

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If the given figure, in a right angle triangle ABC, AB = 12 cm and AC = 15 cm. A square is inscribed in the triangle. One of the vertices of square coincides with the vertex of triangle. What is the maximum possible area (in cm2) of the square?
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In the given figure, four identical semicircles are drawn in quadrant. XA = 7 cm. What is the area (in cm2) of shaded region?
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The diameter of the front wheel of an engine is 2x cm and that of rear wheel is 2y cm to cover the same distance, find the number of times the rear wheel will revolve when the front wheel revolves 'n' times,

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In the given figure, PQR is a quadrant whose radius is 7 cm. A circle is inscribed in the quadrant as shown in the figure. What is the area (in cm2) of the circle?
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If the length of each side of an equilateral triangle is increased by 2 units, the area is found to be increased by 3 + √3 square unit. The length of each side of the triangle is

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The perimeter of a rectangle and an equilateral triangle are same. Also one of the sides of the rectangle is equal to the side of the triangle. The ratio of the area of the rectangle and the triangle is

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A parallelogram has sides 60 m and 40 m and one of its diagonals is 80 m long. Its area is

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The area of a regular hexagon of side 2√3 cm is:

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A string of length 24 cm is bent first into a square and then into a right-angled triangle by keeping one side of the square fixed as its base. Then the area of triangle equals to:

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In the given figure, ABCD is a square, BCXYZ is a regular pentagon and ABE is an equilateral triangle. What is the value (in degrees) of ∠EBZ ?
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Three circles of diameter 10 cm each are bound together by a rubber band as shown in the figure.
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The length of the rubber band (in cm) if it is stretched is

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Parallel sides of a trapezium are 26 cm and 40 cm and the area is 792 cm2. What is the value of distance between parallel sides?

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ABCD is a rectangle. P is a point on the side AB as shown in the given figure. If DP = 13, CP = 10 and BP = 6, then what is the value of AP?
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A hall 25 metres long and 15 metres broad is surrounded by a varandah of uniform width of 3.5 metres. The cost of flooring the varandah, at Rs. 27.50 per square metre is:

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In the given figure, ABCD is a square, EFGH is a square formed by joining mid points of sides of ABCD. LMNO is a square formed by joining mid points of sides of EFGH. A circle is inscribed inside EFGH. If area of circle is 38.5 cm2, then what is the area (in cm2) of square ABCD ?
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A rectangular park is 120 m long and 104 m wide. A 1-m wide path runs along the boundary of the park, remaining completely inside the park area. Thus, the outside edges of the path run along the boundary wall of the park. The inside edges of the path are marked with a white line of negligible thickness. If it costs Rs. 2.50 to mark each metre with the white line, then how much would it cost (in Rs.) to fully mark the inside edges of the path?

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The sides of a triangle are in the ratio   If the perimeter is 147 cm, then the length of the smallest side is . . . . . . . .

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What is the area (in sq cm) of a regular hexagon of side 14 cm?

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