Question

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

Answer 1

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.