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The figure may be labelled as shown. The simplest parallelograms are LMHJ and BDFM i.e. 2 in number. The parallelograms composed of two components each are ABML and MFGH i.e. 2 in number. The parallelograms composed of three components each are LBHI, LBEF, BDGH, DFLA, BCFH, KLFH, A6HJ and LFGJ i.e. 8 in number. The parallelograms composed of six components each are LCFI, KBEH and ADGJ i.e. 3 in number. Total number of parallelograms in the figure = 2 + 2 + 8 + 3 = 15.
B invests 30% of his monthly salary on Travelling and 20% of remaining on Food. Again, he invested 25% of the remaining (after travelling and food expen...
The lateral surface area of a cube is 196 cm2 . The length of a cuboid is 50% more than the side of the cube. The breadth of the cuboid is 3 ...
A circle touches all four sides of a quadrilateral. If AB = 12 cm, BC = 22 cm, and AD = 18 cm, then what is the length of CD?
Each side of square ‘A’ is 4 cm less than that of square ‘B’. The perimeter of a rectangle is 3 times the difference of the perimeters of the tw...
A wooden box measures 20cm by 12cm by 10cm. Thickness of wood is 1 cm. volume of wood to make the box is.
If the ratio of the heights of two cones is 1: 4 and the diameters are in ratio 4: 5 then what is the ratio of their volumes?
A rectangular piece of land has a perimeter of 23 metres and length of 10 metres. If the area of the land is to be divided into 3 equal portions, then w...
The length, breadth and height of a storeroom are 14m, 5m and 8m respectively. If each box occupies 40 m3 of space, then how many boxes can b...
Each interior angle of a regular polygon is 140°. Then find out how many diagonals are there?