Dorothy is using fabric to cover a photo album the width of the fabric is 5/8 of a yard the area of the fabric is 5/16 square yards what is the length of the fabric

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 rectangleb: It is the width of the rectangleAccording 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]