Final answer:
The actual screen area difference between an older analog TV and a newer high definition TV can be found by calculating the areas of both TVs. The difference in area is 486 sq inches.
Step-by-step explanation:
To find the difference between the actual screen area of an older analog TV with an aspect ratio of 4:3 and a newer high definition TV with an aspect ratio of 16:9, we need to calculate the areas of both TVs.
Let's start by finding the dimensions of each TV. For the older analog TV with a measurement of 36 inches, the width would be 36 inches and the height would be (36/4) * 3 = 27 inches. The area of this TV would be 36 * 27 = 972 square inches.
For the newer high definition TV with the same measurement of 36 inches, the width would be 36 inches and the height would be (36/16) * 9 = 81/2 = 40.5 inches. The area of this TV would be 36 * 40.5 = 1458 square inches.
The difference in the actual screen area between the two TVs is 1458 - 972 = 486 square inches. Therefore, the correct answer is 486 sq inches.