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 =
![(1)/(2)* \text{base}* \text{height}](https://img.qammunity.org/2021/formulas/mathematics/middle-school/2ey4f7m0iv4w7rru7w8s4hrqgcadwvahxz.png)
![$=(1)/(2)* {16}* {28}](https://img.qammunity.org/2021/formulas/mathematics/middle-school/imx7q30zy49ckafs114rbguizakhwui4n2.png)
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.