Chapter 8.1, Problem 13PSA

To determine

To find: The Each side of the parallelogram.

Answer to Problem 13PSA

Sides of the parallelogram are 8, 12, 20 and 28

Explanation of Solution

Given information

The ratio of measures of the sides of a quadrilateral is 2: 3: 5: 7

Formula used Perimeter of any figure = sum of its sides

Calculation Let us assume the sides of quadrilateral are 2x, 3x, 5 x and 7x

  $\therefore$ Perimeter of quadrilateral = 2x + 3x + 5x + 7x = 17 x

It is given,

Perimeter of quadrilateral = 68

Thus,

  $\begin{array}{l}17x=68\\ \Rightarrow x=4\end{array}$

And sides of quadrilateral will be

  $\begin{array}{l}2x=2\times 4=8\\ 3x=3\times 4=12\\ 5x=5\times 4=20\\ 7x=7\times 4=28\end{array}$