Answer:
The area of the combined figure is 49.8 cm
Step-by-step explanation:
We first see that there is a semicircle, which represents half of a full circle. We must find the area of such an entire circle, so we have to divide its entire area by two since only half of such an area is represented:
The area of a circle is given by:
<h3>
Ac = π * r²</h3>
In this case, the radius is given by half the base of the rectangle.
<h3>R = 5/2 = 2.5 cm</h3>
So much so that the radius of that radius is 2.5cm, we now consider the pi to be a constant measure of 3.14
<h3>Ac = 3.14 * (2.5)²</h3><h3>Ac = 3.14 * 6.25 cm</h3><h3>Ac = 19.625 cm</h3>
Remember that we are only representing half of the circle, therefore, we must divide the area by two:
<h3>Ac/2 = 19.625 / 2 = 9.8 <em>(</em><em> </em><em>aproximate</em><em> </em><em>)</em></h3>
Now we proceed to find the area of the rectangle, whose height is 8 cm, and base equal to 5 cm.
Since the area of a rectangle is given by multiplying the base times the height, we have:
<h3>Ar = B * H </h3><h3>Ar = 5 cm * 8 cm</h3><h3>Ar = 40 cm</h3>
In this case the figure is complete, there is no need to divide.
To find the full area, we must add the area of the half circle more the area of the newly found rectangle:
<h3>
Overall area = 9.8 cm + 40 cm = 49.8 cm</h3>
By so:
<h3>The area of the combined figure is 49.8 cm</h3>
