MathematicsIf half of the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m, then the length of the garden is ____ m.

If half of the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m, then the length of the garden is ____ m.


    Fill Out the Form for Expert Academic Guidance!l



    +91



    Live ClassesBooksTest SeriesSelf Learning



    Verify OTP Code (required)

    I agree to the terms and conditions and privacy policy.

    Solution:

    Concept- The length of the garden is 20m. To solve this question, we will assume the width of the rectangular garden to be “w” and length to be “l”. Based on the condition mentioned in the question, we will find out the relation between “w” and “l” and then, we will use the relation in the formula of the “Perimeter of a Rectangle” to form an equation in terms of one of the variables considered.
    If  the width of the garden =x metre
    Then length=(x+4) metre
    Half perimeter =36 m
    So perimeter of garden =(2×36)=72 metres
    According to the question
    2(l+b)=72
    2(x+x+4)=72
    2x+2x+4=74
    4x=64
    ⇒x=16 metres
    Hence,the width of the garden =16 metres
    The length of the garden =(16+4)=20 metres
      
    Chat on WhatsApp Call Infinity Learn

      Talk to our academic expert!



      +91


      Live ClassesBooksTest SeriesSelf Learning




      Verify OTP Code (required)

      I agree to the terms and conditions and privacy policy.