Answer:
300 in²
Step-by-step explanation:
The TV screen is rectangular in shape.
Thus:
Length of the rectangular screen = 15 in.
Diagonal of the rectangular screen = 25 in.
To find the area of the rectangular screen, we need the length and the width of the screen.
Use pythagorean theorem to find the width as shown below:
[tex] a^2 + b^2 = c^2 [/tex], where:
a = width = ?
b = 15 in.
c = 25 in. (The hypotenuse/longest side)
Plug in the values into the equation
[tex] a^2 + 225 = 625 [/tex]
Subtract 225 from each side
[tex] a^2 = 400 [/tex]
Take the square root of both sides
[tex] a = 20 [/tex]
width of the screen = 20 in.
Thus,
Area of the screen = length × width
= 15 × 20
Area = 300 in²
