Using a square dot sheet or a graph sheet draw a rectangle and construct a similar figure.
Find the perimeter and areas of both and compare their ratios with the ratio of their corresponding sides.
Perimeter = 2(l + b)
= 2(2 + 1)
= 2(3)
= 6 cm
Area = l×b
= 2×1
=
A figure similar to above figure is shown below:
Perimeter =
=
=
= 12 cm
Area =
=
=
Ratio of the sides of the two figures (fig 2:fig 1) = 2:1
Ratio of the areas of the two figures (fig 2:fig 1) = 3:1
Ratio of the perimeter of the two figures (fig 2:fig 1) = 2:1