Answered

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A company produces standard size American flags with a measurement of 3’ x 5’. Another company produces mega American flags that are similar to this size. If the shorter side of the mega flag is 48',. What is the length of the longer side?

Sagot :

Solution:

Given:

[tex]\text{Standard size American flag of 3' x 5'}[/tex]

Let L be the longer side of the mega flag.

Another company produces a similar flag of 48' x L

Since both flags are similar, then the ratio of the corresponding sides is equal.

Hence,

[tex]\begin{gathered} \frac{3}{5}=\frac{48}{L} \\ \\ \text{Cross multiplying the equation,} \\ 3\times L=5\times48 \\ 3L=240 \\ \\ \text{Dividing both sides by 3,} \\ L=\frac{240}{3} \\ L=80^{\prime} \end{gathered}[/tex]

Therefore, the length of the longer side of the mega flag is 80'

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