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Use this proportion to solve for the area of the small card. (Look at the pictures provided)

Use This Proportion To Solve For The Area Of The Small Card Look At The Pictures Provided class=
Use This Proportion To Solve For The Area Of The Small Card Look At The Pictures Provided class=

Sagot :

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]

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