Question

# The length of a rectangular field is 5 metres less than twice the breadth. If its area is 700 square metres, then the perimeter (in metres) of the field is

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Solution

## Let length be l and breadth be b, so l=2b−5 Now, the area is lb=700⇒(2b−5)b=700⇒2b2−5b−700=0D=25+5600=5625⇒b=5±√56254⇒b=5±754⇒b=−352,20∴b=20 (∵Breath cannot be negative)⇒l=40−5=35 Hence, the perimeter =2(35+20)=110 m

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