MATH SOLVE

9 months ago

Q:
# 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?

Accepted Solution

A:

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 Γ· 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! :)

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 Γ· 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! :)