Question

The American flag is customarily made with its width and length in the ratio of 10 to 19. Which dimensions are in the correct ratio for the flag?

The options are:
1. 90 ft by 174 ft
2. 90 in. by 171 in.
3. 85 ft by 174 ft
4. 85 in. by 171 in.

Answer 1

$\bf 10:19\qquad \qquad \begin{array}{llll} \cfrac{10\cdot 2}{19\cdot 2}\implies \cfrac{20}{38}\\\\ \cfrac{10\cdot 3}{19\cdot 3}\implies \cfrac{30}{57}\\\\ \cfrac{10\cdot 4}{19\cdot 4}\implies \cfrac{40}{76}\\\\ \cfrac{10\cdot 5}{19\cdot 5}\implies \cfrac{50}{95}\\\\ \cfrac{10\cdot 6}{19\cdot 6}\implies \cfrac{60}{114}\\\\ \cfrac{10\cdot 7}{19\cdot 7}\implies \cfrac{70}{133}\\\\ \cfrac{10\cdot 8}{19\cdot 8}\implies \cfrac{80}{152}\\\\ \boxed{\cfrac{10\cdot 9}{19\cdot 9}\implies \cfrac{90}{171}} \end{array}$

Answer 2

well, 90/ by 10 is 9,and so 19*9 is 171, so the answer is the second one