Question

Identify the correct statement.
1. If two figures have same perimeter, their areas are equal
2. The units of perimeter and area are same
3. The shape of figure determines the perimeter
4. If two figures have same area, their perimeters are equal

Answer 1

Correct Answer - Option 3 : The shape of figure determines the perimeter

Basic mathematics has been brought out to cater to the basic needs of the workers to understand the basics of mathematics and their application in day-to-day life. Certain basic aspects of mathematics, e.g. addition, subtraction, division, multiplication, percentage, profit, and loss, etc. are very important for everyone in daily life. 

Perimeter: "The sum of lengths of all sides of a closed geometrical figure or the length of the boundary of a closed geometrical figure is called its perimeter."

The formulae for the perimeter of a rectangle and a square. The shape of the figure determines the perimeter. Every different shape has a different formula of the perimeter.

1) Square : a = side 

• Perimeter = 4 a

2) Rectangle : a = length b = breadth

• Perimeter = 2 (a + b)

Area and perimeter are two different terms and have different formulas:

1) Square : a = side 

• Perimeter = 4 a
• Area= 2xa

2) Rectangle : a = length b = breadth

• Perimeter = 2 (a + b)
• Area= a x b

Same are but different perimeter: If two rectangles with the same area, and talking about the perimeter of those shapes. We found out that rectangles that have the same area don't necessarily have the same perimeter.

Hence, we can conclude that the shape of the figure determines the perimeter is the correct statement.