Question

a rectangle has dimension 12cm and 6cm.if you draw a sauare with the same perimeter,what will be its area.
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Answer 1

Answer:

Step-by-step explanation:

perimeter of rectangle = 2(l+b) = 2(12+6) = 2*18 = 36 cm

square has same perimeter as rectangle  

and four sides of squares are equal  

so side of square = 36/4 = 9 cm

area of square = side*side =9*9 =81 cm square

Answer 2

Given:

The dimension of the rectangle is 12 cm and 6 cm

Now,

To find:

The area of a square which has the same perimeter of the rectangle.

Now,

The perimeter of a rectangle = 2(l + b) units

[In which 'l' is the 'length' and 'b' is the 'breadth' of the rectangle]

So,

The perimeter of the rectangle is

= 2(12 + 6)

= 2(18)

= 36 cm

According to the question,

The perimeter of the rectangle is equal to the perimeter of the square.

And the perimeter of the square is = 4(side) units

Therefore,

⇒ 4(side) = 36

Now we can find the side of the square

⇒ side = 36 ÷ 4

⇒ side = 9 cm

$\bf The\ formula\ to\ find\ the\ area\ of\ the\ square,$

= (side)² unit sq.

= (9)²

= 81 cm sq.

Hence,

The area of the square is 81 cm sq.