A rectangular carpet has an area of 60 sq.m. If its diagonal and longer side together equal 5 times the shorter side, the length of the carpet is:
Answers
A) 5m	B) 12m	C) 13m	D) 14.5m	E) 15.5m
Let, length= x meters and breadth= y meters   Then xy=60 and (x2+y2) + x= 5   Therefore, x=60 and (x2+y2)= (5y-x)2   Or xy=60 and 24y2-10xy=0.   Therefore, 24y2-10*60=0 or y2= 25 or =5.   Therefore, x= (60/5)= 
<gadget id="calculator">(60/5)</gadget>
<output>12</output>
12m. So, length of the carpet= 12m   ANSWER:12m
<result>B</result>
A rectangular carpet has an area of 60 sq.m. If its diagonal and longer side together equal 5 times the shorter side, the length of the carpet is: