Scale factor 2

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

Correct answer:

x =  6.25 inch
y =  10 inch

Step-by-step explanation:

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

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

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