10.1 Perimeter > No. 15

Application of perimeter of plane figures.

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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 $Description: \square$ ABCD.

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

$Description: P=4t \,$

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

and the area is

$Description: A=t^2.\,$

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 $w$

• It has area $A$ $=$ $lw$ , It has perimeter $P$ $= 2 l$ $+ 2 w$ $= 2(l$ $+$ $w$ $)$ , (Our solved example in mathguru.com uses this concept)

• Each diagonal has length $Description: \sqrt{l^2 + w^2}$ ,

• 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.