Question

The length of a rectangle is 3cm less
than 3 times the breadth. If the perimeter
of rectangle is 74cm. Find the dimensions
of the nectangle.​

Answer 1

Step-by-step explanation:

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.

Answer 2

Answer:

let the breadth be x

length=3x-3

According to the question

2(3x-3+x)=74

=)2(4x-3)=74

=)8x-6=74

=)8x=80

=)x=10

breadth=10 cm and length=27 cm

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