Question

Mr. Hopkins is building a sandbox for his children. It would cost $228 for the sand if he builds a sandbox with dimensions 9 ft by 6 ft. If Mr. Hopkins decides to increase the size to 1312 ft by 8 ft but keep the same depth of sand, how much would the sand cost

Answer 1

`\$456`

Explanation:

The correct question is

Mr. Hopkins is building a sandbox for his children. It would cost $228 for the sand if he builds a sandbox with dimensions 9 ft by 6 ft. If Mr. Hopkins decides to increase the size to 13 1/2 ft by 8 ft but keep the same depth of sand, how much would the sand cost

step 1

Find the unit rate of the cost per square foot

Divide the total cost by the area

`(228)/(9*6)=\$(38)/(9)\ per\ square\ foot`

step 2

Find the area of the increased sandbox

we have

`L=13(1)/(2)=13.5\ ft`

`W=8\ ft`

The area is equal to

`A=(13.5)(8)=108\ ft^2`

step 3

Find the cost of the new sandbox

Multiply the area by the cost per square foot

`108((38)/(9))=\$456`