Question

A tv has a screen that is 15 in long and has a 25 in long diagonal find the area of the tv screen?

Answer 1

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:

$a^2 + b^2 = c^2$, where:

a = width = ?

b = 15 in.

c = 25 in. (The hypotenuse/longest side)

Plug in the values into the equation

$a^2 + 225 = 625$

Subtract 225 from each side

$a^2 = 400$

Take the square root of both sides

$a = 20$

width of the screen = 20 in.

Thus,

Area of the screen = length × width

= 15 × 20

Area = 300 in²