Answer:
![P=\dfrac{\pi r^2+2800}{r} $ ft](https://tex.z-dn.net/?f=P%3D%5Cdfrac%7B%5Cpi%20r%5E2%2B2800%7D%7Br%7D%20%24%20ft)
Step-by-step explanation:
Let the length of the rectangular part =l
The width will be equal to the diameter of the semicircles.
Area of the Skating Rink= ![2(\frac{\pi r^2}{2})+(lX2r)](https://tex.z-dn.net/?f=2%28%5Cfrac%7B%5Cpi%20r%5E2%7D%7B2%7D%29%2B%28lX2r%29)
Therefore:
![\pi r^2+2lr=2800\\2lr=2800-\pi r^2\\$Divide both sides by 2r\\l=\dfrac{2800-\pi r^2}{2r}](https://tex.z-dn.net/?f=%5Cpi%20r%5E2%2B2lr%3D2800%5C%5C2lr%3D2800-%5Cpi%20r%5E2%5C%5C%24Divide%20both%20sides%20by%202r%5C%5Cl%3D%5Cdfrac%7B2800-%5Cpi%20r%5E2%7D%7B2r%7D)
Perimeter of the Shape =Perimeter of two Semicircles + 2l
![=2\pi r+2\left(\dfrac{2800-\pi r^2}{2r}\right)\\=2\pi r+\dfrac{2800-\pi r^2}{r}\\=\dfrac{2\pi r^2+2800-\pi r^2}{r}\\=\dfrac{\pi r^2+2800}{r}](https://tex.z-dn.net/?f=%3D2%5Cpi%20r%2B2%5Cleft%28%5Cdfrac%7B2800-%5Cpi%20r%5E2%7D%7B2r%7D%5Cright%29%5C%5C%3D2%5Cpi%20r%2B%5Cdfrac%7B2800-%5Cpi%20r%5E2%7D%7Br%7D%5C%5C%3D%5Cdfrac%7B2%5Cpi%20r%5E2%2B2800-%5Cpi%20r%5E2%7D%7Br%7D%5C%5C%3D%5Cdfrac%7B%5Cpi%20r%5E2%2B2800%7D%7Br%7D)
The perimeter of the rink is given as:
![P=\dfrac{\pi r^2+2800}{r} $ ft](https://tex.z-dn.net/?f=P%3D%5Cdfrac%7B%5Cpi%20r%5E2%2B2800%7D%7Br%7D%20%24%20ft)
area 4 ft
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Answer:
25 is the answer
for proof see the pic
<em>first divide it by 11 then and when you get the numerator as 100 and denominator as 4 divide it by 2</em>
So as to get numerator as 50 and denominator as 2 .
<em>L</em><em>a</em><em>t</em><em>e</em><em>r</em><em>,</em><em> </em><em>D</em><em>i</em><em>v</em><em>i</em><em>d</em><em>e</em><em> </em><em>i</em><em>t</em><em> </em><em>b</em><em>y</em><em> </em><em>2</em><em> </em><em>a</em><em>n</em><em>d</em><em> </em><em>h</em><em>e</em><em>n</em><em>c</em><em>e</em><em>,</em><em> </em><em>y</em><em>o</em><em>u</em><em>r</em><em> </em><em>a</em><em>n</em><em>s</em><em>w</em><em>e</em><em>r</em><em> </em><em>i</em><em>s</em><em> </em><em>2</em><em>5</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>;</em><em>)</em>
Answer:
Pentagon, convex
Step-by-step explanation:
All of the interior angles are less than 180. Hope this helps.