Question

The aspect ratio of a TV screen is a ratio of the screen's width to the screen's height. Suppose that Noel recycles an old TV screen with an aspect ratio of 4:3. If the TV screen measures 32 inches along its diagonal, what is the perimeter of the screen? Assume that the screen is shaped like a rectangle.
102.4 inches
98.6 inches
76.8 inches
89.6 inches

Answer 1

If the diagonal is 32 than you will us

A^2 + b^2 = c^2

We will use the aspect ratio to find a common variable

4A = 3B

a = (3/4)B now plug it in

((3/4)B)^2 + b^2 = 32 (This is because c is the diagonal)

Now solve for B

B turns out to be 25.577 inches

Plug B in

A = (3/4)(25.577)

A = 19.18

Now add up ther perimeter A + A + B + B

19.18 + 19.18 + 25.577 + 25.577

89.6 inches