From the information we have, singles court is 75% of double score.
So we will say that the double score width is 100%.
we now form an equation
100% = 36
75% = x
where x is the width of singles court.
100% can be written as 100/100 which is equivalent to 1
75% can be written as 75/100 which is equivalent to 0.75
Therefore
1 = 36
0.75 = x
Cross multiply the equation:
1 * x = 0.75 * 36
x = 27
There the singles court is 27 feet wide.