Given:
The area of the big card = 384 square in.
And the side of the big card = 24 in.
The side of the small card = 8 in.
Required:
Use this to find the area of the small card.
Explanation:
The given formula is:fi
[tex]\frac{Area\text{ of big card}}{Area\text{ of small card}}=(\frac{side\text{ of big card}}{side\text{ of small card}})^2[/tex]
Substitute the given values in the formula:
[tex]\begin{gathered} \frac{384}{Area\text{ of small card}}=(\frac{24}{8})^3 \\ \frac{384}{Area\text{ of small card}}=(3)^2 \\ \frac{384}{Area\text{ of small card}}=9 \end{gathered}[/tex][tex]\begin{gathered} Area\text{ of small card = }\frac{384}{9} \\ =42.67\text{ in}^2 \end{gathered}[/tex]
Final Answer:
The area of the small card is
[tex]42.67\text{ in}^2[/tex]
