Scale factor 2

Nadeem has a 10 inch by 10 inch photo album. He wants to make as large a copy of the original photo as possible to fit the album. Whats are the largest dimensions the copy can be if he keeps the proportion of the original photo? Explain your answer. .. . original photo is 5 inches by 8 inches.

Correct result:

x =  6.25 inch
y =  10 inch

Solution:

$$\begin{gathered} a=5\text{ inch } \\ b=8\text{ inch } \\ c=10\text{ inch } \\ k=c\mathrm{/}b=10\mathrm{/}8={\displaystyle \frac{5}{4}}=1.25 \\ x=k\cdot a=1.25\cdot 5={\displaystyle \frac{25}{4}}={\displaystyle \frac{25}{4}}\text{ inch}=6.25\text{ inch} \end{gathered}$$

$y=k\cdot b=1.25\cdot 8=10\text{ inch}$

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