Perimeter =60cm,area=200sq cm,length=?,breadth=? – InterviewSolution

1.

Perimeter =60cm,area=200sq cm,length=?,breadth=?

Answer»

perimeter of RECTANGLE = 2(l+b)

60 = 2(l+b)

60÷2 = l+b

30 = l+b ------------------ eq1

area of rectangle = l×b

200 = l(30-l)

200 = 30l-l²

${l}^{2} - 30l + 200 = 0$

${l}^{2} - 20l - 10l + 200 = 0$

$l(l - 20) - 10(l - 20) = 0$

$(l - 10)(l - 20) = 0$

Length = 10cm, 20CM

breadth =30-L = 20cm, 10cm

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