The area of a shape is the amount of space it occupies.
The area Philip will be mowing is 336 square feet
From the diagram of Phillip's backyard (see attachment), we can see that the backyard comprise:
- A 10ft by 10ft rectangle
- A 20ft by 15ft rectangle
So, the area of the backyard is
[tex]\mathbf{A = 10 \times 10 + 20 \times 15}[/tex]
[tex]\mathbf{A = 100 + 300}[/tex]
[tex]\mathbf{A = 400}[/tex]
Next, we calculate the area of the pond
[tex]\mathbf{A_2 = 8 \times 8 = 64}[/tex]
So, the total area Phillip will mow is:
[tex]\mathbf{Backyard = 400 - 64}[/tex]
[tex]\mathbf{Backyard = 336}[/tex]
Hence, the area Philip will be mowing is 336 square feet
Read more about areas at:
https://brainly.com/question/16418397
