the lenght of rectangle is 5 m less then thrice its breadth, find its length if its breadth is X m?​

the lenght of rectangle is 5 m less then thrice its breadth, find its length if its breadth is X m?​

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  1. Answer:

    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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