Answer:
x = 106°
Step-by-step explanation:
You must understand the picture to answer the question correctly.
The angle to the right has measure 68°.
The angle to the left has measure x, an unknown number.
Notice that 174° is written in gray, not black, and notice that the curve is also in gray. That means the entire angle made up of 68° and x measures 174°.
x + 68° = 174°
Subtract 68° from both sides.
x = 106°
The dimensions of the rectangular pen should be 15 by 20 feet and the maximum area is 1200 square feet.
Let the area be y .
Area = (base) × (height)
Base = 2x
Height = h
Let the area of the rectangular pens be y .
∴ y = 2xh
Perimeter of all the fencing = 4x+3h
∴ 4x+3h = 120
now we solve for h
3h = 120-4x
h = 40 - 4/3 x
Now we will substitute this value in the above first equation:
y = 2xh
or, y = 2x (40 - 4/3 x)
or, y = 80x - 8/3 x²
Now for the maximum area we have to find the first order differentiation of y
now,
dy /dx = 80 - 16/3 x
At dy/dx = 0 we get the value of x for which y is maximum.
80 - 16/3 x = 0
or, - 16/3 x = -80
or, x = 15 feet
Hence height = 40 - 4/3 x = 40 - 20 = 20feet
Maximum area = 2xh = 2×15×40 = 1200 square feet
The dimensions of the rectangular pen should be 15 by 20 feet and the maximum area is 1200 square feet.
Disclaimer : The missing figure for the question is attached below.
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brainly.com/question/27531272
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<u>Set up an equation based on the information given</u>

<u>Combine like terms</u>



<u>Solve</u>




Answer
The width of the rectangular field is 75 yards.
-26 is ur answer. hope this helps!