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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