Chapter 8, Problem 35RP

To determine

To find:The perimeter of the given figure i.e. CARD.

Answer to Problem 35RP

The perimeter of CARD is 32 units

Explanation of Solution

Given information:

Given two parallelograms, i.e., CARD and GAME

The perimeter of one parallelogram is 48 units and

Ratio of parts of parallelogram is 2 : 1

Formula used:

Comparing the ratio of diagonals and equate the perimeters

Calculation :

  $\begin{array}{l}\frac{{\text{P}}_G\text{ (Perimeter of GAME)}}{{\text{P}}_C\text{(Perimeter of CARD)}}=\frac{{\text{D}}_G\text{(Diagonal of GAME)}}{{\text{D}}_C\text{(Diagonal of CARD)}\frac{}{}}\\ \Rightarrow \frac{P_G}{P_C}=\frac{3}{2}\\ \Rightarrow P_C=P_G\times \frac{2}{3}=48\times \frac{2}{3}=32\text{units}\end{array}$