14+Area+of+Quadrilaterals

=Area of Quadrilaterals=

The area of a quadrilateral can be found by dividing it into triangles and adding the areas of the triangles. But, you can only use this shortcut if there are two parallel sides. There are separate equations for each quadrilateral. The area of a parallelogram is base multiplied by height (A=bh). The area of a square is base multiplied by height (A=bh). The area of a rectangle is base multiplied by height (A=bh). The area of a trapezoid is base 1 plus base 2 divided by 2 (A=B 1 +B 2 /2). The area of a rhombus is base multiplied by height (A=bh). These are the formulas for the separate quadrilaterals.
 * Summary**

Square A=s2

Rectangle A=bh

Parallelogram A=bh

Rhombus A=bh

Trapezoid A=(b 1 +b 2) /2 x h

Kite A=1/2(d1d2)

Helpful Links http://www.tpub.com/math1/18c.htm

http://staff.argyll.epsb.ca/jreed/math8/strand3/3203.htm

http://www.ehow.com/how_5139902_calculate-quadrilateral-area.html

Example 1: Parallelogram The way you find the area is baseXhight (bXh) ... Once you have the height and the base measurements you just multiply them together. For this problem you would just do b(12) X h(5) to get an area of 60 cm squared.

Example 2: Square Find the area of this trapezoid using these lengths Base 1- 15 cm Base 2- 20 cm Height- 10 cm

A=(b1=b2)/2 x h A=(15+20)/2 x 10 A= 175 cm2

Example 3: Rectangle

What is the area of a rectangle having a length of 6 and a width of 2.2? The area is the product of these two side-lengths, which is 6 × 2.2 = 13.2.

In all parallelograms the opposite sides are parallel and congruent. Also the consecutive angles are supplementary. The opposite angles are congruent and diagonals bisect each other.

A rhombus shares all of the qualities of a parallelogram. Also they are equilateral and the diagonals bisect opposite angles.

A rectangle also shares all the qualities of a parallelogram. A rectangle is equiangular and the diagonals make two sets of congruent isosceles triangles.

A square has all ten properties of the other parallelograms.