Question

The breadth of a rectangle is 5 less than twice its length. If the perimeter of the rectangle is 14 m. find
the dimensions of the rectangle.​

Answer 1

Step-by-step explanation:

let, length of rectangle = x

breadth of rectangle = 2x - 5

perimeter of rectangle = 14 m.

2 ( l + b ) = 14

2x - 5 + x = 7

3x = 12

x = 4.

2x - 5 = 2(4) - 5 = 8 - 5 = 3

therefore, length of rectangle = x = 4m.

breadth of rectangle = 2x - 5 = 3m.

Answer 2

Answer and 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.