suman has a piece of land, which is in shape of rhombus. she wants her son work on land and grow different crops. she divides her land into equal parts by drawing the diagonal . If it's perimeter is 400 m and one of the length of the diagonal is 120 m . how much area each of them will get for his crop
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Since perimeter of Rhombus = 400 m,each side = 100 m.Using Pythagoras theorem,AO^2 = 100^2 - 80^2 = 10000-6400 = 3600AO = 60SO AC = 2(AO) =120Area of Rhombus = 1/2 * Product of diagonals = 1/2 * 160 * 120 = 9600 m^2The area that each of the children get = 9600/2 = 4800 m^2
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