Question

Perimeter of a square and a rectangle is same. If a side of the square is 15cm and one side of the rectangle is 18cm, find the area of the rectangle.​

Answer 1

Question:-

Perimeter of a square and a rectangle is same. If a side of the square is 15cm and one side of the rectangle is 18cm, find the area of the rectangle.

Answer:-

• The area of rectangle is 216 cm²

To find:-

• area of rectangle

Solution:-

• Side of square = 15 cm

A we know,

Perimeter = 4 × side

According to question,

=> Perimeter = 4 ×15

=> Perimeter = 60 cm

• The perimeter of square is 60 cm

• Perimeter of square = Perimeter of rectangle
• Thus, perimeter of rectangle is 60 cm
• Breadth of Rectangle = 18 cm

As we know,

$\mathfrak{ \huge{ perimeter = 2(l + b)}}$

According to question,

=> 2(l + 18) = 60

=> 18 + l = 30

=> l = 30 – 18

=> l = 12

• The length of Rectangle is 12 cm

As we know,

$\mathfrak{ \huge{ area = l \times b}}$

According to question,

=> Area = 12 × 18

=> Area = 216 cm²

Hence,

• The area of rectangle is 216 cm²

Answer 2

☆ Solution ☆

Given :-

• Perimeter of a square and a rectangle is same. If a side of the square is 15cm and one side of the rectangle is 18cm.

To Find :-

• The area of the rectangle.

Step-by-Step-Explaination :-

As we know that :-

Perimeter of square = 4 × side

Putting the respective value,

Perimeter of square = 4 × 15

Perimeter of square = 60

Hence,

Perimeter of square = 60 cm

Perimeter of square = Perimeter of rectangle = 60 cm

As we know that :-

Perimeter of rectangle = 2 ( l + b )

Putting the respective value,

⇥ 2 ( 18 + B ) = 60 cm

⇥ 18 + B = 30 cm

⇥ B = 12

Hence,

The breadth of rectangle = 12

Now,

As we know that :-

Area of rectangle = l × b

Putting the respective value,

Area of rectangle = 18 × 12

Area of rectangle = 216² cm

Hence,

Area of rectangle = 216² cm