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Question

(a) Which has the bigger area — one of your footprints or the pages of this book?
(b) Which has the smaller area―two five-rupee notes together or a hundred-rupee note?
(c) Look at a 10 rupee-note. Is its area more than hundred square cm?
(d) Is the area of the blue shape more than the area of the yellow shape? Why?



(e) Is the perimeter of the yellow shape more than the perimeter of the blue shape? Why?

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Solution

(a)
The pages of this book has a larger area than the footprint.

(b)
A hundred rupee note has smaller area than two five-rupees notes kept
together.

(c)
The area of a 10 rupee note is less than 100 square cm.

(d)
The yellow and blue shaped figures are divided into 2 triangles of equal areas. We now see that the area of each triangle of the blue shape is more than the area of each triangle of the yellow shape. We can then say, that the area of the blue shape is more than the area of the yellow shape.

(e)
With the help of a ruler, we come to find that the length of the boundary of the blue shape is more than the length of the boundary of the yellow shape. Thus, we can say that the perimeter of the blue shape is greater than that of the yellow shape.

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