Question

the breadth of a rectangle field is 150 m its length is 2 1/3 times the breadth find the perimeter of the rectangle​

Answer 1

$ANSWER</p><p></p><p>Let the length and breadth of rectangular field is x and y respt.</p><p></p><p>Then area =xy=150.................(1)</p><p></p><p>And perimeter of rectangular field =2x+2y=50</p><p></p><p>Or x+y=25--------------------------------------(2)</p><p></p><p>Or x=25-y  Put in (1)</p><p></p><p>So y(25-y)=150</p><p></p><p>25y−y2=150⇒y2−25y+150=0⇒y2−15y−10y+150=0⇒y(y−15)−10(y−15)=0⇒(y−10)(y−15)</p><p></p><p>So y=10 or y=15</p><p></p><p>Or x=25-15=10 or x=25-10=15</p><p></p><p>Then its dimensions are 10 ,15</p><p></p><p>$

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