Activity › Discussion › Math › Mensuration › Reply To: Mensuration

::
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=12080
b=40
Area of the rectangle= l×b
We know that
l=80 and b=40
Therefore,
Area of the rectangle= 80×40=3200cm