Find the area of the figure. Round it to the nearest hundredth
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Answer:
Step-by-step explanation:
This shape is actually just a rectangle with a missing triangle. We can first find the area of the rectangle with and subtract the triangle.
Area of missing triangle = (b is the base and h is the height)
Base =
Height =
Area of missing triangle =
Area of the figure:
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Alternatively, you can find the area of each individual shape and add them all up.
Area of the rectangle:
Area of square:
Area of triangle:
Total Area:
Let s be the side length of the square. The dimensions of the rectangle are three times the side of the square (i.e. 3s), and two less than the side of the square (i.e. s-2).
So, the area of this rectangle is
The area of the square is , and we know that the two areas are the same, so we have
The solution s=0 would lead to the extreme case where the rectangle and the square are actually a point, so we accept the solution s=3.