Chapter 11.1, Problem 17PSC

To determine

Find the red fractional part.

Answer to Problem 17PSC

  $\frac{27}{65}$

Explanation of Solution

Given information:

A flag has dimensions $65by39$ . Each short strip has a length of $39$ .

  

Calculation:

Consider the figure,

  

  $\begin{array}{l}lengthofshortstrip=39\\ width=39/13=3\left[totalstrips=13\right]\\ shortstriparea=bh\\ =39\times 39/13\\ =117\\ longstriparea=bh\\ =65\times 39/13\\ =195\end{array}$

There are $4red$ strips in short area and $3red$ strips in long area,

  $\begin{array}{l}4\times 117=468\\ 3\times 195=585\\ totalarea=bh\\ =65\times 39\\ =2535\\ fractionofredpart=\frac{468+585}{2535}=\frac{27}{65}\end{array}$

Hence, the red fractional part is $\frac{27}{65}$ .