Question

the perimeter of the rectangle and Square are same. length and breadth of the rectangle are 10 cm and 8 cm respectively. what is the area of a square ​

Answer 1

Step-by-step explanation:

Perimeter of rectangle = 2(l+b)

P = 2( 10+8 )

P = 2 ×18

P = 36

Perimeter of square = 4a

Perimeter of square = Perimeter of Rectangle ( Given)

4a = 36

a = 36/4

a = 9

Area of square = a^2

A = 9^2

A = 81 cm^2

Answer 2

Answer:

$81 \: cm²$

Step-by-step explanation:

Perimeter of rectangle is = 2(+b)

=2(10+8)

=2(18)

= 36 cm.

Now, perimeter of square is 4(a),

where a is the side of square.

We have given that perimeter is

equal so equate 4(a) with the

perimeter of the rectangle, we get:

4(a) = 36

a = 9 cm

So the side of the square is 9cm.

Now area of sqare is 9×9=81.

So the area of the square is 81 cm².