The dimension that would give the maximum area is 20.8569
<h3>How to solve for the maximum area</h3>
Let the shorter side be = x
Perimeter of the semi-circle is πx
Twice the Length of the longer side
![[70-(\pi )x -x]](https://tex.z-dn.net/?f=%5B70-%28%5Cpi%20%29x%20-x%5D)
Length = ![[70-(1+\pi )x]/2](https://tex.z-dn.net/?f=%5B70-%281%2B%5Cpi%20%29x%5D%2F2)
Total area =
area of rectangle + area of the semi-circle.
Total area =
![x[[70-(1+\pi )x]/2] + [(\pi )(x/2)^2]/2](https://tex.z-dn.net/?f=x%5B%5B70-%281%2B%5Cpi%20%29x%5D%2F2%5D%20%2B%20%5B%28%5Cpi%20%29%28x%2F2%29%5E2%5D%2F2)
When we square it we would have
![70x +[(\pi /4)-(1+\pi)]x^2](https://tex.z-dn.net/?f=70x%20%2B%5B%28%5Cpi%20%2F4%29-%281%2B%5Cpi%29%5Dx%5E2)
This gives
![70x - [3.3562]x^2](https://tex.z-dn.net/?f=70x%20-%20%5B3.3562%5Dx%5E2)
From here we divide by 2
The maximum side would be at
This gives us 20.8569
Read more on areas and dimensions here:
brainly.com/question/19819849
#SPJ1
Answer:
34
Step-by-step explanation:
10/1×17/5
note: 10/1=10
10×17/5
multiply
170/5
34 ans
pls mark brainliest
Answer:
are you just typing
Step-by-step explanation:
4) split this into two shapes, a rectangle and a triangle...
Rectangle: base(height)
14(7)=98
Triangle: 1/2base(height)
Find the height: 14-7=7
1/2(14)(7)=49
Add them together: 98+49=147
147in^2
5) split this into two shapes, a square and a triangle...
Square: base(height)
20(20)=400
Triangle: 1/2base(height)
1/2(20)(10)=100
Add them together: 400+100=500
500m^2
6) split this into 2 shapes, a rectangle and a triangle...
Rectangle: base(height)
6(5)=30
Triangle: 1/2base(height)
1/2(6)(3)=9
Add them together: 30+9=39
39yd^2
7) I can't see the number behind the m. Please tell me what it is and then I'll help you!
8) split this into 2 shapes, a rectangle and a triangle...
Rectangle: base(height)
5(2)=10
Triangle: 1/2base(height)
1/2(5)(3)=7.5
Add them together: 10+7.5=17.5
17.5ft^2
9) split this into 2 shapes, a rectangle and a triangle...
Rectangle: base(height)
13.5(18)=243
Triangle: 1/2base(height)
1/2(13.5)(9)=60.75
Add them together: 243+60.75=303.75
303.75cm^2
I hope this helps:)
BEST WISHES!
