Chapter 6, Problem 15MCQ

To determine

To find if the union part of the American flag is similar to the rectangle enclosing the entire flag.

Answer to Problem 15MCQ

The rectangle enclosing the union is not similar to the rectangle enclosing the flag.

Explanation of Solution

Given information:

The measurements of blue portion of the American flag, called the union and the entire flag is given:

  

Calculation :

The ratio of the length and breadth of the rectangle enclosing the union can be calculated by:

  $\frac{13}{18.24}=\frac{1}{1.4}$

The ratio of the length and breadth of the rectangle enclosing the union is $1:1.4$

The ratio of the length and breadth of the rectangle enclosing the entire flag can be calculated by:

  $\frac{2}{3.8}=\frac{1}{1.9}$

The ratio of the length and breadth of the rectangle enclosing the entire flag is $1:1.9$

Ratio is being calculated, so the units does not need to be changed.

Hence, the rectangle enclosing the union is not similar to the rectangle enclosing the flag.