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Question

Mathematics Question on Perimeter

What is the perimeter of each of the following figures? What do you infer from the answers?
List of figures

Answer

(a) Perimeter of square =4×side\text{Perimeter of square }= 4 \times side
= 4×25=1004 \times 25 = 100 cmcm


(b) Perimeter of rectangle=2×(length+breadth)\text{Perimeter of rectangle} = 2 \times (length + breadth)
= 2×(40+10)2 \times (40 + 10)
= 2×50=1002 \times 50 = 100 cmcm


(c) Perimeter of rectangle =2×(length+breadth)\text{Perimeter of rectangle }= 2 \times (length + breadth)
= 2×(30+20)2 \times (30 + 20)
= 2×50=1002 \times 50 = 100 cmcm


(d) Perimeter of triangle=Sum of all sides\text{Perimeter of triangle} = \text{Sum of all sides}
= 30  cm+30  cm+40  cm30\; cm + 30 \;cm + 40\; cm
= 100100 cmcm

Thus, all the figures have same perimeter.