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

Respuesta :

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]

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