Question

The ratio of the coorsponding aide lengths of two simular mp3 player's is 4:3. The area of the larger mp3 player is 8 square inches. What is the area of the simular mp3 players?

Answer 1

Answer:

Area of smaller triangle is 4.5 square inches.

Step-by-step explanation:

Given:

Area of the larger mp3 player = $8\ in^2$

Ratio of 2 similar mp3 players = 4:3

We need to find the area of smaller mp3 player.

solution:

Let the area of smaller mp3 player be 'x'.

Now we can say that;

If the two area are similar then their ratio of the corresponding lengths are said to be similar too.

so we can say that;

To find the ratio of the areas we will raise the side length to the power of 2.

framing in equation form we get;

$\frac{\textrm{Area of the Larger mp3 player}}{\textrm{Area of the smaller mp3 player}}=(\frac{4}{3})^2$

Substituting the values we get;

$\frac{8}{x}=\frac{16}{9}$

By Cross multiplication we get;

$x=\frac{8\times9}{16}=4.5\ in^2$

Hence Area of smaller triangle is 4.5 square inches.