Dimensions- Table

[Guest]

"Perimeter is two straight edges plus (Pi times diameter of curved ends) and this equals 40 feet....
So..... 2x + Pi.y = 40...... this is a mathematical equation describing the perimeter of the whole table....Eqn.1..."

A question:

Why would the perimeter be needed for equation 1 instead of the areas of the semicircles ?

[Guest]

Eqn.1....is an equation set up to describe mathematically the the perimeter around the whole of the table. It does not describe anything about the areas. It is in fact the distance around the edge of the table and the question said the perimeter was 40 feet. In terms of "x" and "y" the distance along the straight bits of the edge is "X" on one side and "x" on the other so that gives 2x feet.

The distance around the 2 curved ends is Pi.y ( which is (3.14 multiplied by "y") because 2 semicircles make 1 circle and Pi times Diameter is circumference of a circle. Diameter of the circle is "y" feet.

So.. total perimeter is 2x + Pi.y feet. And this equals 40 feet. So equation is 2x + Pi.y = 40 .....eqn.1

Eqn.2 describes the relationship between the area of the rectangular bit in the middle and the area of the semicircle ends.

[Guest]

I could not understand what you meant by using all 9 questions in terms of "x" and "y". I understand now. Thanks for being patient and the very detailed explanations.

[Guest]

Mathematics - A Universal Language of Quantification.......

A question commonly asked by those students struggling
with a required mathematics course is, What is this stuff good for?.
Whether in classes pre-algebra, algebra, etc. it can be argued that
one is learning a universal language of quantification. Subsequently, to
essentially ask ‘of what good is this algebraic language?’ is to miss
the whole point of having available a new, powerful, and exact
means of communication. To not have this communication means at your
disposal could be likened to not being able to speak English
in a primarily English-speaking country. To say that this would be
a handicap definitely is an understatement! Yet this is precisely
what happens when one doesn’t speak the mathematics language in a technological world
bubbling over with mathematical language: e.g. numbers, data, charts, and formulas.
......and so on,... now to the studies......keep at it......if at first you don't succeed...
....try, try and try again........

[zaiveca]

All you have done is list a few generic formulae
Not related to the question in hand
I assume perimeter in the question means perimeter of the table
You give 2L + 2W that is perimeter of a rectangle and the question says the table is not rectangular
Also you introduced r for radius that now means 3 unknowns
I think you are messing about and not giving it any real thought based on what was done for previous posted questions. You need to show how your equations are related and how they relate to the actual question

[Guest]

The problem describes a rectangular conference room table with semicircles at its ends. The perimeter of the table is given as 40 feet, and the area of the rectangle is stated to be twice the sum of the areas of the two semicircles. However, the specific lengths and widths of the rectangular part cannot be determined without more information or constraints.