Question

How much of the backyard is NOT being used for a vegetable garden or pet exercise area?

Answer 1

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 = $\frac{1}{2}\times \text{base}\times \text{height}$

                                 $=\frac{1}{2}\times {16}\times {28}$

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.