22BrookeWheeler 22BrookeWheeler
  • 07-10-2018
  • Mathematics
contestada

The length of a rectangle is 2 centimeters longer than its width,if the perimeter of the rectangle is 60cm,find its width and length?

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quiescentdulcet
quiescentdulcet quiescentdulcet
  • 07-10-2018

Let the width of rectangle= x centimeter

According to condition length =  (x+2) centimeter

As accoding to formula

perimeter of rectangle = 2( lenght +width)

so Perimeter = 2{(x+2) +(x)}     equation 1

Give perimeter = 60cm          equation 2

comparing  equation 1 and equation 2

2{(x+2) +(x)} = 60

Solving   2{2x+2} =60

4x+4 =60  

subtracting 4 both sides

4x= 56

dividing 4 both sides.

x=14  width of rectangle

AS we have assume length = x+2 ⇒ 14 +2

Length =16


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