Answer:
the width of the 30 inch TV is 4x = 4 inches.
Explanation:
We can use the fact that the aspect ratio of the 30 inch TV is 4:3, which means that the width of the TV is 4x and the height of the TV is 3x, where x is some constant.
Let's use the Pythagorean theorem to relate the width, height, and diagonal of the TV. We know that the diagonal of the TV is the hypotenuse of a right triangle with legs 4 feet and 3 feet. So, we can write:
diagonal^2 = width^2 + height^2
Substituting the values we know, we get:
(5 ft)^2 = (4x)^2 + (3x)^2
Simplifying, we get:
25 ft^2 = 16x^2 + 9x^2
25 ft^2 = 25x^2
x^2 = 1
Since x is a positive value, we can take the positive square root of both sides:
x = 1
Therefore, the width of the 30 inch TV is 4x = 4 inches.