Question

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?

Answer 1

Area = Length x Width


`485 (5)/(8) = 18 (1)/(2) * \text{ Width}`

Divide both side by 18 1/2:

`\text{ Width} = 485 (5)/(8) / 18 (1)/(2)`

Convert to improper:

`\text{ Width} = (3885)/(8) / (37)/(2)`

Change divide fraction to multiplicationf fraction:

`\text{ Width} = (3885)/(8) * (2)/(37)`

Mutliply and simplify:

`\text{ Width} = (104)/(4) = 26 (1)/(4) \text{ feet}`

Answer: Length = 26 1/4 feet

Answer 2

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! :)