Question

this question has two parts. first, answer part a. then, answer part b. part a fencing the figure shows dereks house and his backyard on a coordinate grid. derek is planning to fence in the play area in his backyard. part of the play area is enclosed by the house and does not need to be fenced. each unit on the coordinate grid represents 5 feet. the cost for the fencing materials and installation is $10 per foot. how much will it cost derek to install the fence? $ part b explain your reasoning. the side of the play area that is adjacent to the house select choice need fencing. the remaining select choice sides of the play area on the grid have lengths of 4, 5, and select choice units. the perimeter of the play area to be fenced on the grid is select choice units. each unit on the grid represents select choice feet, so derek will need select choice feet of fencing. the cost of the fencing is $10 per foot, so the total cost will be select choice .

Explanation:

Step1: Count grid - units of fencing

By observing the grid, the lengths of the sides of the play - area that need fencing are 4, 5, and 5 units. So the perimeter of the play - area to be fenced on the grid is $4 + 5+5=14$ units.

Step2: Convert grid - units to feet

Since each unit on the coordinate grid represents 5 feet, the length of fencing in feet is $14\times5 = 70$ feet.

Step3: Calculate total cost

The cost for the fencing materials and installation is $10 per foot. So the total cost is $70\times10=\$700$.

Answer:

$700$

For Part B:
The side of the play area that is adjacent to the house does not need fencing. The remaining 3 sides of the play area on the grid have lengths of 4, 5, and 5 units. The perimeter of the play area to be fenced on the grid is 14 units. Each unit on the grid represents 5 feet, so Derek will need 70 feet of fencing. The cost of the fencing is $10 per foot, so the total cost will be $700$.