Erica wants to create a rectangular garden next to her house. The wall of her house will be one border of the garden, and she will use fencing for the border around the other three sides of the garden. Erica’s house and the location of her new garden are shown on the coordinate grid.
What is the total length of fencing in feet that
needs to be used to enclose Erica’s garden? This grid is clickable. Click on the button to generate a graph with the house and the garden.
Since the wall of Erica's house serves as one border of the garden, we only need to calculate the length of fencing needed for the other three sides of the garden. To do this, we need to determine the length of the sides of the rectangle that forms the garden.
Looking at the graph, we can see that the garden starts at (0, 0) and ends at (8, 0), which means the length of the bottom side of the rectangle is 8 feet.
Similarly, the garden starts at (0, 0) and ends at (0, 5), so the length of the left side of the rectangle is 5 feet.
Finally, the garden starts at (8, 0) and ends at (8, 5), so the length of the right side of the rectangle is 5 feet.
Therefore, the total length of fencing needed to enclose Erica's garden is 8+5+5 = <<8+5+5=18>>18 feet.