a Simplify the ratio, and check if it is equal to 1.618.
B
b If x is the width of the left column, then 960-x is the width of the right column.
A
a No, see solution.
B
b 593 pixels and 367 pixels
Practice makes perfect
a To determine if either type of screen is a golden rectangle, we should simplify the fractions corresponding to the given ratios. Let's start with a standard television screen.
4:3=4/3=1.3333...
As we can see, this type of screen is not a golden rectangle because 1.333...≠1.618. Now, let's do the same with a high-definition screen.
16:9=16/9=1.7777...
Since 1.777...≠1.618, this type of screen is also not a golden rectangle. Therefore, neither of them can be named a golden rectangle.
b In this part we are asked to find the width of two columns when we are given the width of the page, 960 pixels. Notice that if x is the width of the left column, then 960- x is the width of the right column. As we know that the ratio of these widths is the golden ratio, 1.618, we can write an equation.
x/960- x=1.618Let's solve the above equation for x.
