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50 POINTS Answer with explanation would be appreciated. Will give brainliest for the best answer.

The ratio of the corresponding side lengths of two similar MP3 players is 4 : 3. The area of the larger MP3 player is 8 square inches. What is the area of the smaller MP3 player?

Respuesta :

Hello from MrBillDoesMath!

Answer:

6


Discussion:

Let x be the length of the unknown side. Then

(4/3) x = 8   =>

x = 8 *(3/4) =>

x = 24/4

x = 6

Thank you,

MrB

wegnerkolmp2741o

Answer:

A smaller = 4.5 square inches

Step-by-step explanation:

The scale factor is 4/3  to get from the smaller to the larger

For side length , perimeter we multiply by the scale factor

For area, surface area, we multiply by the scale factor squared

For volume, we multiply by the scale factor cubed

A smaller * scale factor ^2 = A larger

The area of the larger is 8  and the scale factor is 4/3

A smaller * (4/3)^2 = 8

A smaller * 16/9 =8

Multiply by 9/16 on each side

A smaller * 16/9 *9/16  =8*9/16

A smaller = 72/16

A smaller = 4.5 square inches

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