Answer:
128.86 cm^2
Step-by-step explanation:
So to start off we need to find the area of the rectangle.
The formula for the area of a rectangle is [tex]l[/tex]×[tex]w[/tex].
L stands for the length which is 12 and w is the width which is 11.
So 11 × 12 = 132 cm^2.
Now time for the area of a circle.
The formula for that is [tex]\pi r^{2}[/tex].
So first we need to do 1 × 1 which is 1.
Then 1 × [tex]\pi[/tex] which is just [tex]\pi[/tex].
Then we do 132 - [tex]\pi[/tex] which is an irrational number.
It looks like this shortened 128.858407346.
Now rounding to the nearest hundreth it would be 128.86 cm^2.
Hence, the area of the shaded region is 128.86 cm^2.
