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Answer:
1. 83 square inches
2. 7.065 square centimeters
Step-by-step explanation:
Hey there!
In order to find the area of the shaded region of the rectangle, you need to first find the area of the whole shape
The dimensions are 10 and 16 and if you multiply them together, you get 160
This means that the area of the whole shape is 160
Now they are asking for the area of the shaded shape, so we need to find the area of the white rectangle, and then subtract that area from 160
The dimensions for the white rectangle is 11 and 7
This means that the area of the white rectangle is 77
Now what we need to do is subtract 77 from 160
160-77=83
So the area of the shaded region is 83 square inches
Now to get to the second question
We need to find the area of the quarter circle
In order to find this, we need to first find the area of the whole circle, then divide that by 2
They gave us the radius already which makes it a lot easier (the radiues is 3)
All we need to do is input 3 into the formula for the area of a circle
In this case, since they are telling us to use 3.14 as pi, the equation would look like this:
This can be simplified to which is equal to 28.26
So this is the area of the whole circle
But the question is asking for the area of a quarter of that circle
So what we need to do is divide 28.26 by 4 which is 7.065
So the area of the quarter circle is 7.065 square centimeters