Sabtu, 12 Maret 2011

The Properties of a Rectangle

14.52

The perimeter of a rectangle:
rectangle
To find the perimeter of a rectangle, just add up all the lengths of the sides:
Perimeter = + w + + w
        =
 2L + 2w




The area of a rectangle:
rectangle
To find the area of a rectangle, just multiply the length times the width:
Area = L x w




The sides and angles of a rectangle:
rectangle
Opposite sides of a rectangle are the same length (congruent).
The angles of a rectangle are all congruent (the same size and measure.)
Remember that a 90 degree angle is  called a "right angle."  So, a rectangle has four right angles.
Opposite angles of a rectangle are congruent.

Opposite sides of a rectangle are parallel.




The diagonal of a rectangle:
To find the length of the diagonal of a rectangle,  use the Pythagorean Theorem:
length of diagonal = d
d^2 = L^2 + w^2
So...   d = sqrt ( L^2  + w^2 )




Properties of the diagonals of a rectangle:


As you can see from the pictures to the left, the diagonals of a rectangle do not intersect in a right angle (they are not perpendicular).   (Unless the

rectangle is a square.)  And the angles formed by the intersection are not always the same measure (size).
Opposite central  angles are the same size (they are congruent.)

The pieces created when the diagonals intersect are congruent.

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