I don't know if this is the place to put it but anyways

Question

Complete each of the following problems in the space provided if you need more space attach additional sheets. You must show all work and/or an explanation in order to receive credit.

1. Older television screens have an aspect ratio of 4:3. That is, the ratio of the width to the height is 4:3. The aspect ratio of many movies is not 4:3, so they are sometimes shown on a television screen by "letterboxing"- darkening strips of equal height at the top and bottom of the screen- as shown below. Suppose a movie has an aspect ratio of 2:1 and is shown on an older television screen with a 27-inch diagonal. What is the height, in inches, of each darkened strip.

Thanks for the help

Answer 1

screen height = h
screen width = w
h = w*3/4 (1)
27 = sqrt(h^2+w^2)
= sqrt((3w/4)^2+w^2)
solve this equation for w
calculate h from (1)
movie width = screen width
movie height = m
m=w/2
darkened strip = (h-m)/2

Answer 2

26.2