For a rectangle area 40sq.cm and perimeter 28cm.find the length and breath of the rectangle?
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Let the length of rectangle be x and breadth be b.
Area of triangle = l*b
40 = l*b
b=40/l cm
Perimeter of triangle = 2(l+b)
28 = 2(l+40/l)
14=(l^2+40)/l
14l=l^2+40
l^2-14l+40=0
l^2-10l-4l+40=0
l(l-10)-4(l-10)=0
(l-4)(l-10)=0
l=4cm or l=10cm
b=40/l = 10cm or 4cm
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