the length of a rectangle is 2 cm less then 3 times its breadth. if its area is 289cm2 , then find its length
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Let the breadth of a rectangle be x cm.
Therefore, length will be 2x−5 cm.
Now, length is decreased by 5 cm i.e., 2x−5−5=2x−10 cm and breadth is increased by 2 cm, i.e., x+2 cm.
Also given, perimeter =74=2(l+b) cm.
Therefore, 2[2x−10+x+2]=74
⇒2[3x−8]=74
⇒6x−16=74
⇒6x=74+16
⇒6x=90
⇒x=15
Now, length will be =2x−5=2(15)−5=30−5=25 cm.
Therefore, length and breadth of a rectangle are 25 cm and 15 cm respectively.
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