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a 68 cm long rope is used to make a rhombass on graund the distance between theair of opposite corner is 16cma. what is the distance between the other two cornerb. what is the area of the ground bounded by the ropeENG 1049 PMOType here to search |
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Answer» Perimeter of rhombus = length of rope. Let side length of rhombus is aLet diagonals of rhombus are d1 and d2 Then,4a = 68a = 68/4 = 17 cm (1) Given d1 = 16 cm Using pythagoras theoram a^2 = (d2/2)^2 + (d1/2)^2 17^2 = d2^2/4 + 64 d2^2 = (289 - 64)*4 d2^2 = 225*4 d2 = 15*2 = 30 cm Therefore distance between other two corners = 30 cm (2) Area bounded by rope = d1*d2/2 = 16*30/2 = 240 cm^2 thanks |
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