Find the Area of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place.
1 answer:
Answer:
Area of the composite figure = 175.1 square units
Step-by-step explanation:
Area of the composite figure given in the picture = Area of the parallelogram + Area of the semicircle formed on one side of the parallelogram
Area of the parallelogram = Base × Height
= 30 × 5
= 150 square units
Area of the semicircle =
=
= 8π
= 25.13
≈ 25.1 square units
Now area of the complete figure = 150 + 25.1
= 175.1 square units
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Answer: The minimum value of C is 46.
Step-by-step explanation:
Since, Here, We have to find out Min C = 7x+8y
Given the constraints are -------(1)
------------- (2)
,
-------- (3)
Since, For equation 1) x-intercept, (4, 0) and y-intercept (0,8)
And, ⇒
( false)
Therefore the area of line 1) does not contain the origin.
For equation 2) x-intercept, (6, 0) and y-intercept (0,6)
And, ⇒
( false)
Therefore the area of line 2) does not contain the origin.
Thus after plotting the constraints 1) 2) and 3) we get Open Shaded feasible region AEB ( Shown in below graph)
At A≡(0,8) , C= 64
At E≡(2,4), C= 46
At B≡(6,0), C= 42
Thus at B, C is minimum, And its minimum value = 42
