Question

If the perimeter of Rectangle and square are same. If the length of Rectangle 30 cm and perimeter is 80 cm. Find :-
Breadth of rectangle
Side of square
Area of square

Answer 1

Given :

Perimeter of area and Rectangle are same

Length of rectangle = 30 cm

Perimeter = 80 cm

To Find :

Breadth of rectangle

Side of square

Area of square

Solution :-

We know that

Perimeter = 2(l + b)

80 = 2(30 + b)

80 = 60 + 2b

80 - 60 = 2b

20 = 2b

10 = b

Now,

$Side \: of \: square = \frac{perimeter}{4}$

Side = 80/4

Side = 20 cm

Now,

Area of square = side²

Area = 20²

Area = 400 cm²

Answer 2

Given :

Perimeter of area and Rectangle are same

Length of rectangle = 30 cm

Perimeter = 80 cm

To Find :

Breadth of rectangle

Side of square

Area of square

Solution :-

We know that

Perimeter = 2(l + b)

80 = 2(30 + b)

80 = 60 + 2b

80 - 60 = 2b

20 = 2b

10 = b

Now,

side of square =perimeter/4

Side = 80/4

Side = 20 cm

Now,

Area of square = side²

Area = 20²

Area = 400 cm²