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Activity Discussion Math Mensuration

• # Mensuration

Posted by 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.

replied 3 months, 4 weeks ago 2 Members · 1 Reply
• ### Anagha

Member
June 5, 2023 at 2:53 pm
1

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

(2) length of the rectangle is 80cm

(3) side of the square is 60cm

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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