Page 216 - Math Genius C5

E:\Working\Orange_Education\Math_Genius_5\Open_Files\CHAP_11
\ 08-Oct-2025 Bharat Arora Proof-9 Reader’s Sign _______________________ Date __________

Gamified Learning Holistic Skills Experiential Learning

Objective: To find the perimeter of different shapes having the same area and the area
of different shapes having the same perimeter.
materials Required: Square grid paper of 10 × 10 in which each square is 1 cm × 1 cm, a

pencil, a piece of string or yarn exactly 24 cm long.
Activity 1: Shapes having the same area

Procedure:
Pair up the students and give them the following instructions:
Š Discuss with your partner how many shapes like rectangles of different dimensions are
possible with the same area.
Š Partner 1 will work on a rectangle of area 24 sq. cm and Partner 2 will work on a

rectangle of area 12 sq. cm.
Š Each partner will draw outlines of all the possible rectangles on his/her respective
square grid paper.

Š Label the rectangles with their lengths and breadths and name them as Rectangle 1, 2 and
so on. Also, find their respective perimeters and write them under each rectangle.
Activity 2: Shapes having the same perimeter

Procedure:
Pair up the students and give them the following instructions:

Š Take the piece of string of length 24 cm.
Š Use the string to form the outline of a perfect square. Place it on the grid paper and
trace it. Measure the length of each side. Calculate its area by counting the squares.
Š Now, use the same 24 cm string to form a long, thin rectangle (for example, length 10
cm and breadth 2 cm). Trace it on the grid paper and calculate its area.
Š Use the string again to form a different rectangle (for example, length 8 cm and breadth

4 cm). Trace it and calculate its area.
Š Record the dimensions and area for each shape you made. You will notice that the
perimeter for all the shapes is the same (24 cm), but the areas are different.

Mathematics-5
214 Mathematics-5
214