18.
Find the area of the shaded region. Show your work.
The area of the shaded region is 0 square mm.
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In order to find the area of the shaded region, we need to know the specific shape and measurements of the shaded region. Can you provide more details or a diagram?
To find the area of the shaded region, we need to determine the area of the entire figure and subtract the area of the unshaded region.
To begin, let's identify the shapes involved in the figure. It appears to consist of a large square, a smaller square inside it, and two quarter circles.
Let's label the length of one side of the large square as 's'. This means the area of the square is s^2.
The length of one side of the smaller square inside the large square is 'x'. Thus, the area of this smaller square is x^2.
Next, let's find the area of the quarter circles. Since each quarter circle has a radius equal to half the length of the smaller square, we can label the radius as 'r'. Therefore, the area of each quarter circle would be (1/4) * π * r^2.
To find the area of the shaded region, we subtract the area of the unshaded region (composed of the smaller square and the two quarter circles) from the total area of the large square.
So, the area of the shaded region would be:
Area of shaded region = Area of large square - Area of smaller square - 2(Area of quarter circle)
= s^2 - x^2 - 2((1/4) * π * r^2)
To calculate the exact value of the shaded area, we will need the measurements of the sides of the squares and the radius of the quarter circles. Once these measurements are provided, we can substitute them into the equations and calculate the area.