Answer
The cost to place baseboard around the region is\[\$9.50\].
Work Step by Step
The cost to enclose field with baseboard will be calculated by finding the perimeter of the field in the feet. Then, multiply the perimeter with the baseboard cost given in feet.
Computation of perimeter of the field can be done by adding the dimensions. Compute the perimeter as shown below:
\[\begin{align}
& P=\text{Sum of all sides} \\
& =5\text{ ft}+15\text{ ft}+2\text{ ft}+10\text{ ft}+5\text{ ft}+3\text{ ft} \\
& =40\text{ ft}
\end{align}\]
It is given that no baseboard is needed for 2ft doorway. Hence, the total perimeter for which the baseboard is needed is\[38\text{ ft}=\left( 40\text{ ft}-2\text{ ft} \right)\].
For the computation of cost of baseboard, multiply the perimeter 38 ft by the cost of $0.25 per foot.
\[\begin{align}
& \text{Cost}=\frac{38 foot}{1}\times \frac{\$0.25}{foot}\\&=38\times\$0.25\\&=\$9.50\end{align}\]
