• Math

  Mensuration

  Posted by Homi Koylada on June 5, 2023 at 1:42 pm

  3. A square and a rectangle have the same perimeter. Calculate the area of the rectangle if the side of the square is 60 cm and the length of the rectangle is 80 cm.

  Anagha Babu replied 1 year, 10 months ago 2 Members · 1 Reply
• 1 Reply

• 

  Anagha Babu

  Member

  June 5, 2023 at 2:53 pm

  Given: (1) perimeter of the square= perimeter of the rectangle

  (2) length of the rectangle is 80cm

  (3) side of the square is 60cm

  Answer:

  Let us denote the side of the square as ‘a’

  Perimeter of the square= 4×a (formula)

  Given that a=60cm ……..(3)

  Therefore perimeter of the square=4×60

  So perimeter=240cm

  Perimeter of the rectangle=2(l+b)

  Where ‘l’ denote length and ‘b’ denote breadth or width

  Since it is given that the square and rectangle have same perimeter we can equate them .

  That is ,

  2(l+b)=240cm

  Given that the length of the rectangle is 80cm

  Therefore,

  2(80+b)=240

  80+b=240÷2

  80+b=120

  b=120-80

  b=40

  Area of the rectangle= l×b

  We know that

  l=80 and b=40

  Therefore,

  Area of the rectangle= 80×40=3200cm

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