Find the width and height of a 54 inch TV with the aspect ratio of 4:3. Then , find the area of the screen. You must draw and label a picture to help show ur work.

The area of the screen is 1399.68 in²

Step-by-step explanation:

The given parameters are;

The size of the TV = 54 inch

The aspect ratio of the TV screen = 4:3

The size of the TV is given as the length, of the diagonal, therefore, we have;

The aspect ratio = Length, L:Width, W = 4/3 = L/W

L² + W² = 54²(1)

L/W = 4/3(2)

Therefore, 3×L = 4×W

L = 4×W/3

Substituting the value of L in equation (1), we have;

(4×W/3)² + W² = 54²

16/9×W² + W² = 54²

25/9×W² = 54²

W² = 54²×9/25 = 1049.76

W = 32.4 inches

The length, L = 4×W/3 = 4×32.4/3 = 216/5 inches = 43.2 inches

The area of the screen = 43.2 inches × 32.4 inches = 1399.68 in²

The area of the screen =  1399.68 in².

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