Area of backyard is not being used 7792 square feet.
Solution:
Length of the backyard = 181 ft
Width of the backyard = 48 ft
Area of the backyard = length × width
= 181 × 48
Area of the backyard = 8688 square feet
Base of the triangle = 16 ft
Height of the triangle = 28 ft
Area of the triangle = [tex]\frac{1}{2}\times \text{base}\times \text{height}[/tex]
[tex]$=\frac{1}{2}\times {16}\times {28}[/tex]
Area of the triangle = 224 square feet
Length of the rectangle = 32 ft
Width of the rectangle = 21 ft
Area of the rectangular vegetable garden = length × width
= 32 × 21
Area of the rectangular vegetable garden = 672 square feet
Area of backyard not used
= Area of backyard – Area of the triangle + Area of the rectangle
= 8688 – 224 – 672
= 7792 square feet
Area of backyard is not being used 7792 square feet.
