Answer:
13.7ft^2
Step-by-step explanation:
Area for triangle:
The formula for the area of a triangle in this scenario is area=(b*h)/2
The base length is 3.6ft and the height is 4.8ft. We can now substitute these values into the equation. So:
area=(3.6*4.8)/2
area=8.64ft^2 for the triangle
Area for semi-circle:
The formula for the area of a circle is area=pi*r^2. To find the area of the semi-circle, we can half the area of the circle at the end.
The question says to use 3.14 for the value of pi.
The diameter is given as 3.6ft, so to find the radius, we simply divide the diameter by 2; so 3.6/2=1.8ft for the radius
Now, we can just substitute these values into the equation above. So:
area=3.14*(1.8)^2
area=3.14*3.24
area=10.1736ft^2 (DO NOT ROUND THIS ANSWER!!).
However, this area is for the COMPLETE circle. We want the area for the semicircle shown above. Therefore, divide the circle area by 2. So:
10.1736/2=5.0868ft^2 for the semicircle.
Total area of shape
Now we have the area of the two separate shapes, we can simply add them together. So:
8.64ft^2 + 5.0868ft^2 = 13.7268ft^2 altogether (unrounded)
Now, finally we must round to 1/10, or to 1 decimal place. Therefore, the final value for the area would be 13.7ft^2.
Hope this helped!!
