Respuesta :

Answer:

6 in

Step-by-step explanation:

The area of a picture is 25 7/5 square inches.  If the width of the picture is 4 1/2 inches, what is the length?  (A=(w)(l) )

Assuming that your "25 7/5 square inches" is not a mistake, then this is equivalent to 26 2/5 square inches.

Converting 26 2/5 sq. in. to an improper fraction, we get 132/5 sq. in., which represents the area of the picture.  If the width is 4 1/2 inches, or 9/2 inches, then the length, l, is:

     132/5 in^2

l = ------------------

         9/2 in

To divide 132/5 in^2 by the fraction 9/2 in, invert 9/2 and multiply:

     135 in^2       2

l = -------------- * ------ = 270/9 in = 30/5 in = 6 in

          5              9