if the perimeter of a rectangle is 34cm, find x
With = (x-1)
length = (x+4)

2 thoughts on “if the perimeter of a rectangle is 34cm, find x<br /> With = (x-1)<br /> length = (x+4)”

1. Answer:

   Perimeter of rectangle = 2(l+b)

   34= 2(x-1)+(x+4)

   34\2=(x-1)+(x+4)

   17= x+x-1+4

   17=2x+3

   17-3=2x

   14=2x

   x=7

   width=(x-1) =(7-1)

   =6

   length =(x+4)= (7+4)

   =11

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2. G I V E N :

   Given that, 34cm is the perimeter of a rectangle and (x-1)cm, (x+4) are the breadth and length of the rectangle respectively.

   T O F I N D :

   We have to find the value of x.

   S O L U T I O N :

   We know that,

   • Perimeter of the rectangle = 2(Length+Breadth)

   Here,

   • Perimeter of the rectangle = 34cm
   • Length of the rectangle = (x+4)cm
   • Breadth of the rectangle = (x-1)cm

   Now, substituting the values :

   • 34cm = 2[ (x+4) + (x-1) ]
   • 34cm = 2[ x + 4 + x – 1 ]
   • 34cm = 2[ 2x + 3 ]
   • 34cm = 4x + 6
   • 34cm – 6 = 4x
   • 28cm = 4x
   • 28cm/4 = x
   • x = 7cm

   Therefore,

   • x = 7cm
   • Length = (x+4) = 11cm
   • Breadth = (x-1) = 6cm

   V E R I F I C A T I O N :

   Now, let’s substitute these values and check whether it’s correct or not :

   • Perimeter of rectangle = 2(Length + Breadth)
   • 34cm = 2(11cm + 6cm)
   • 34cm = 2(17cm)
   • 34cm = 34cm
   • LHS = RHS

   Hence, verified!

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