Aim: How do we find the area of parallelograms, kites and trapezoids?

Aim: How do we find the area of parallelograms, kites and trapezoids?
Answer:
Area of parallelograms:
    The area of a parallelogram is given by the formula which is the same as a rectangle which is b*h=a, where A is the area, B is the length of the base and h is the height of the parallelogram.

Example:


http://www.k6-geometric-shapes.com/image-files/formula-area-parallelogram.jpg


   b*h=a
                                                                                   6*5=a
                                                                                   a= 30    
http://image.tutorvista.com/content/feed/tvcs/470u93ki057suuw74ft.jpg

 Area of a Trapezoid:
                    The area of a trapezoid is given by the formula A=(b1+b2)/2*h  or A= 1/2h(b1+b2) where A is the area,b1 is the first or top base, b2 is the second or bottom base and h is the height of the trapezoid.

Example:
http://www.calculateme.com/cArea/area-of-trapezoid.gif

             A=(b1+b2)/2*h
                                                                                               A=(2.5+6)/2*5
                                                                                                A=(8.5)/2*5
                                                                                                 A=4.25*5
                                                                                                  A= 21.25
http://mste.illinois.edu/courses/mat764fa04/folders/traska/MAT%20764/Final%20Unit%20Plan/trapezoid2.jpg


Area of Kites:
        The area of a kite is given by the formula A=(d1*d2)/2, where A is the area, d1 is the first diagonal, d2 is the second diagonal.

Example:

http://www.k6-geometric-shapes.com/image-files/formula-area-rhombus.jpA
A=(d1*d2)/2                                                                 A=(8*6)/2
                                                                 A=(48)/2
                                                                 A=24
http://s2.hubimg.com/u/3564209_f260.jpg



 TRY IT YOURSELF:

What is the area of the parallelogram?


http://www.infobarrel.com/media/image/7554.jpg

What is the area of the trapezoid?







    http://www.wyzant.com/Help/Images/trap4.gif

what is the area of the kite?

http://www.bukisa.com/articles/330258_calculating-the-area-of-a-kite-shapeeasy-guide-with-diagrams



Answer:
7*9/2==> 63/2==> Answer: 31.5