Question

explain your reasoning. the side of the play area that is adjacent to the house does not need fencing. the remaining four sides of the play area on the grid have lengths of 4, 5, and 6 units. the perimeter of the area to be fenced on the grid is p = 4 + 5 + 4 = 13 units. each unit on the grid represents 5 feet, so derek will need 65 feet of fencing. the cost of the fencing is $10 per foot, so the total cost will be 60($10) = $600.

Explanation:

Step1: Identify non - fenced side

The side adjacent to the house doesn't need fencing.

Step2: Calculate perimeter of fenced sides

The lengths of the fenced sides are 4, 5 and 4 units. So $P = 4+5 + 4=13$ units.

Step3: Convert units to feet

Each unit represents 5 feet. So the length of fencing in feet is $13\times5 = 65$ feet.

Step4: Calculate total cost

The cost per foot is $10. So the total cost is $65\times10=\$650$.

Answer:

The side of the play area that is adjacent to the house does not need fencing. The remaining three sides of the play area on the grid have lengths of 4, 5, and 4 units. The perimeter of the area to be fenced on the grid is $P = 4 + 5+4 = 13$ units. Each unit on the grid represents 5 feet, so Derek will need 65 feet of fencing. The cost of the fencing is $10 per foot, so the total cost will be $65(\$10)=\$650$.