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The perimeter of a rectangle is 28 cm whose area is 48 sq.cm. then find its measures.1.1 |
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Answer» Let length of Reactangle = lLet breadth of Reactangle = b Perimeter of Reactangle= 2(length + breadth) 28 = 2(l + b)l + b = 14........ (1) Area of Reactangle= length * breadth l*b = 48b = 48/l...........(2) Put value of B from eq(2) in eq(1)l + 48/l = 14l^2 + 48 = 14ll^2 - 14l + 48 = 0l^2 - 8l - 6l + 48 = 0l(l - 8) - 6(l - 8) = 0(l - 6)(l - 8) = 0l = 6, 8 Therefore, If length = 6 cm, breadth = 8 cmIf length = 8 cm, breadth = 6 cm |
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