Question

Question 39

Fill in the blanks to make the statements true.

In the figure given below, each square is of unit length.

The ratio of the perimeter of the boundary of the shaded portion to the perimeter of the whole figure is ___.

Answer 1

From the above figure, we find that:

The perimeter of whole figure = 14 units

The perimeter of shaded figure = 6 units

Ratio of perimeter of shaded portion to whole figure = $\frac{6units}{14units}$

= $\frac{3}{7}$ [on dividing numerator and denominator by 2]

= 3 : 7

Hence, the ratio of the perimeter of the boundary of the shaded portion to the perimeter of the whole figure is 3 : 7.