For this case we assume that the photo album is rectangular in shape and therefore the fabric too. By definition, the area of a rectangle is given by:
[tex]A = a * b[/tex]
Where:
a: It is the length of the rectangle
b: It is the width of the rectangle
According to the problem data we have to:
[tex]b =\frac {5}{8} \yard\\A = \frac {5} {16} \ yards ^ 2[/tex]
Substituting:
[tex]\frac {5} {16} = a * \frac {5} {8}[/tex]
We clear "a":
[tex]a = \frac {\frac {5} {16}} {\frac {5} {8}}\\a = \frac {5 * 8} {16 * 5}\\a = \frac {8} {16}\\a = \frac {1} {2}[/tex]
Thus, the length of the fabric is [tex]\frac {1} {2} yards.[/tex]
ANswer:
The length of the fabric is[tex]\frac {1} {2} yards.[/tex]