Question

A 30 inch TV has an aspect ratio of 4:3. A TV that is 4 feet wide and 3 feet tall has a diagonal length of 5 ft. How can you use this information to figure out the width of the 30 inch TV? Explain.

Answer 1

The answer to your question is diagonal = 30 in, width = 24 in, height = 18 in.

Explanation:

- From the data given, we conclude that the proportion 4:3 is 0.75.

So the 30-inch television must have the same proportion 4:3 or 0.75.

The dimensions of the new TV must be lower than 30.

Use proportion to solve this problem

5 : 4 :: 30 : x

x = (30 x 4) / 5

x = 24 in

And

5 : 3 :: 30 : x

x = (3 x 30) / 5

x = 18

The data given help to calculate the dimensions of the 30 in TV.