A tv has a screen that is 15 in long and has a 25 in long diagonal find the area of the tv screen?
1 answer:
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:
, where:
a = width = ?
b = 15 in.
c = 25 in. (The hypotenuse/longest side)
Plug in the values into the equation
Subtract 225 from each side
Take the square root of both sides
width of the screen = 20 in.
Thus,
Area of the screen = length × width
= 15 × 20
Area = 300 in²
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