SOLUTION: A community skating rink is in the shape of a rectangle with semicircles attached at the ends. The length of the rectangle is 20 feet less than twice the width. The thickness of

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Question 1139324: A community skating rink is in the shape of a rectangle with
semicircles attached at the ends. The length of the rectangle
is 20 feet less than twice the width. The thickness of the ice is
0.75 inch.
(a) Build a model that expresses the ice volume, V, as a
function of the width, x.
(b) How much ice is in the rink if the width is 90 feet?

Figure of said skating rink: https://i.imgur.com/pi19b12.png

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
A community skating rink is in the shape of a rectangle with
semicircles attached at the ends. The length of the rectangle
is 20 feet less than twice the width. The thickness of the ice is
0.75 inch.
---
---

x, the width
2x-20, the length just the rectangular part
V, volume

V=%283%2F4%29%28x%282x-20%29%2Bpi%2A%28x%2F2%29%5E2%29
Simplify this and then use for answering question (b).