The google family built a rectangular swimming pool in their backyard. the floor of the pool has an area of 485 5/8 square feet. if the width of the pool is 18 1/2 feet, what is the length of the pool?

A= Area= 485 5/8 ft^2
W= Width= 18 1/2 ft
L= Length= ?

Area= LW
plug in known numbers

485 5/8= (L)(18 1/2)
convert to improper fractions

3885/8= (L)(37/2)
divide both sides by 37/2

3885/8 ÷ 37/2= L
to divide fractions, multiply by the reciprocal/inverse of 37/2

3885/8 * 2/37= L
multiply numerators; multiply denominators

(3885*2)/(8*37)= L
multiply inside parentheses

7770/296= L
simplify

105/4 feet= L
change to mixed number

26 1/4 feet= L

ANSWER: The length is 26 1/4 feet (or 26.25 feet).

Hope this helps! :)