SOLUTION: A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 36.900 ft. give the area A of the window in square feet when the width is

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 36.900 ft. give the area A of the window in square feet when the width is      Log On

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Question 918440: A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 36.900 ft. give the area A of the window in square feet when the width is 7.500 ft. Give the answer to two decimal places.
I'm stuck and I need this one to finish my homework! Even my dad can't help me and I got no results from google and my math book only uses rectangular examples!!! PLEASE HELP ME!!!!

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The problem description is somewhat ambiguous. Width of the window is 7.500 feet; but is THE semicircle attached to a width or is it attached to a length? Any figure or diagram included in your book or page might help tell you this nonverbally.

I can explain generally.

x and y are the dimensions of the rectangle portion of the window. You know perimeter of the window p and one of the diensions, either x or y;
but you do not know A area of the window.

p=36.9000
A is unknown
either x or y is known but not both.

Either x or y serves as diameter of the semicricle, but only one of those dimensions; NOT both, and not both at the same time.

If the semicircle has diameter of y, then highlight_green%28A=pi%2A%28y%2F2%29%5E2%2Bxy%29, and highlight_green%28p=%281%2F2%292pi%2A%28y%2F2%29%2B2x%2By%29.

Nothing more specific without the exact and complete problem description.