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Example: Find Area of Crossroads of Two Rectangular Paths

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Explanation:

 

 

Square (geometry)

Square


A square is a regular quadrilateral

 

In geometry, a square is a regular quadrilateral. This means that it has four equal sides and four equal angles (90-degree angles, or right angles). A square with vertices ABCD would be denoted  ABCD. (Our solved example in mathguru.com uses this concept)

 

 

Perimeter and area

 

The area of a square is the product of the length of its sides.

The perimeter of a square whose sides have length t is

and the area is

 

 

(Our solved example in mathguru.com uses this concept)

 

 

http://en.wikipedia.org/wiki/Square_(geometry)

 

Rectangle

 

In Euclidean plane geometry, a rectangle is any quadrilateral with four right angles. The term "oblong" is occasionally used to refer to a non-square rectangle. A rectangle with vertices ABCD would be denoted as  ABCD. A so-called crossed rectangle is a crossed (self-intersecting) quadrilateral which consists of two opposite sides of a rectangle along with the two diagonals. Its angles are not right angles.

 

Formulas

 

The formula for the perimeter of a rectangle.

If a rectangle has length l and width w

1.  It has area A = lw, (Our solved example in mathguru.com uses this concept)

2.  It has perimeter P = 2l + 2w = 2(l + w),

3.  Each diagonal has length ,

4.  When l = w, the rectangle is a square.

 

http://en.wikipedia.org/wiki/Rectangle

 

The above explanation is copied from Wikipedia, the free encyclopedia and is remixed as allowed under the Creative Commons Attribution- ShareAlike 3.0 Unported License.