Question

Use tracing paper and centimeter graph paper to compare the areas of the following pairs of figures:

Answer 1

(i) (ii)
Using tracing paper, we traced both the figures on a graph paper.
(i) This figure contains 4 complete squares, 9 more than half squares and 9 less than half squares.
Let us assume that the area of one square is 1 cm² .
If we neglect the less than half squares and consider the area of more than half squares as equal to area of complete square, we get:
Area of this shape = (4 + 9) = 13 cm²
(ii) This figure contains 8 complete squares, 11 more than half squares and 10 less than half squares.
Let us assume that the area of one square is 1 cm²​.
If we neglect the less than half squares and consider the area of more than half squares as equal to area of complete square, we get:
Area of this shape = (8 + 11) = 19 cm²

On comparing the areas of these two shapes, we get that the area of Fig. (ii) is more than that of Fig. (i).