a vegetable garden surrounding path are shaped like a square that together are 10 ft wide. The path is 3 ft wide. Find the total area of the vegetable garden and path. ​

a vegetable garden surrounding path are shaped like a square that together are 10 ft wide The path is 3 ft wide Find the total area of the vegetable garden and class=

Respuesta :

Answer: Garden = 36 ft², Path = 64 ft²

Step-by-step explanation:

Path is 3 ft wide ON EACH SIDE of the garden

Garden + 2(Path) = 10 ft   --> Garden = 6 ft wide.

Since the garden is a square, Area = 6² = 36

Garden + 2(Path) = 10 ft

Since the Garden + Path form a square, Area = 10² = 100

Area of Garden + Area of Path = Total Area

         36             + Area of Path =      100

                              Area of Path =      64