The total area that the rectangular vegetable garden and triangular pet exercise area takes up is 893 square feet.
Solution:
Base of the triangle = 16 ft
Height of the triangle = 28 ft
Area of the triangle = ![\frac{1}{2}\times \text{base}\times \text{height}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%5Ctext%7Bbase%7D%5Ctimes%20%5Ctext%7Bheight%7D)
![$=\frac{1}{2}\times {16}\times {28}](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%7B16%7D%5Ctimes%20%7B28%7D)
Area of the triangle = 224 square feet
Length of the rectangle = 32 ft
Width of the rectangle = 21 ft
Area of the rectangle = length × width
= 32 × 21
Area of the rectangle = 672 square feet
Total area = Area of the triangle + Area of the rectangle
= 224 square feet + 672 square feet
= 896 square feet
The total area that the rectangular vegetable garden and triangular pet exercise area takes up is 893 square feet.