Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was two thirds the size of the brand name. If the generic television set is 12 inches by 24 inches, what are the dimensions of the brand name television?

16 inches by 32 inches
9 inches by 18 inches
18 inches by 36 inches
8 inches by 16 inches

Respuesta :

Answer:  Third option is correct.

Explanation:

Since we have given that

there are two similar televisions at a local electronics store,

Dimension of generic television set is  

12 inches by 24 inches  

We need to calculate the dimensions of brand name television ,

Since it is also given that the generic television was two third of the size of the brand name, i.e.

[tex]\text{Generic television}=\frac{2}{3}\times \text{brand television}[/tex]

Now,

[tex]\text{brand television }=\frac{3}{2}\times \text{generic television}[/tex]

So, length of brand name television becomes

[tex]\frac{3}{2}\times 12=3\times 6=18\ inches[/tex]

Breadth of brand name television becomes

[tex]\frac{3}{2}\times 24=3\times 12=36\ inches[/tex]

So, Dimension of brand name television is

18 inches by 36 inches

So, Third option is correct.


Answer: The answer to this is 18 inches by 36 inches, i just took the test and got it right:)

Step-by-step explanation: