Question

It costs a family $305.00 to buy a 16 ft by 18 ft rug. If the cost is proportional to the area, what will it cost the family to buy a 8 ft by 9 ft rug?thank you ! :)

Answer 1

Case: Proportions

Method:

The area of the 16 ft by 18 ft rug

`\begin{gathered} A=16*18 \\ A=288\text{ }ft^2 \end{gathered}`

The cost per square foot is:

`C=(305)/(288)`

The area of the 8 ft by 9 ft is:

`\begin{gathered} A=8*9 \\ A=72ft^2 \end{gathered}`

Hence the cost of the 8 ft by 9 ft is:

`\begin{gathered} C=(305)/(288)*72 \\ C=76.25 \end{gathered}`

Final answer:

C) $76.25