A gardener wants to run a border around the outside of her garden. She plots it on a grid to plan how much she will need. The garden is in the shape of a rectangle with vertices at (3, 9) (5, 9) (3, 3) (5, 3). Find the total length of border needed. 8ft 12ft 16ft 24ft
1. To solve this exercise you must plot the vertices of the rectangle: (3,9);(5,9); (3,3); (5,3). The graph is shown in the figure attached. 2. As you can see in the graph, the rectangle has 6 feet long (L=6 feet) and 2 feet wide (W=2 feet).
3. Then, the perimeter of the rectangle is:
P=2L+2W
4. When you substitute the values of "L" and "W" into P=2L+2W, you obtain:
P=2(6 feet)+2(2 feet) P=12 feet+4 feet P=16 feet
Therefore, the total length of border needed is 16 feet.