Saturday, March 17, 2012

March 15,2012, Aim: How do we find the area of Parallelograms, Kites and Trapezoids?

Areas:
-Parallelogram: Base x Height
-Kite: D1 x D2
                2
-Trapezoid: 1/2(B1 + B2)Height


Examples:
Example 1:Find the area of a parallelogram with a base of 12 centimeters and a height of 5 centimeters.[IMAGE]
Solution:A
  A = (12 cm) · (5 cm)
  A = 60 cm2

                                          http://www.mathgoodies.com/lessons/vol1/area_parallelogram.html

Example 2
Find the area of this kite shape.
This time the two diagonal lengths of the kite are 9mm and 7mm.
First of all, multiply these two side length together.
9 × 7 = 63
Now all you need to do next is halve this number.
63 ÷ 2 = 31.5 mm²
So the area of the kite is 31.5 mm².

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


Example 3:Find the area of a trapezoid with bases of 9 centimeters and 7 centimeters, and a height of 3 centimeters.[IMAGE]
Solution:
 A =  · (9 cm + 7 cm) · 3 cm
  A =  · (16 cm) · (3 cm)
  A =   · 48 cm2
  A = 24 cm2
http://www.mathgoodies.com/lessons/vol1/area_trapezoid.html


Now you try it:

1. Find the area of a parallelogram with a base of 8 feet and a height of 3 feet. 
ANSWER BOX:  A =  ft2  
RESULTS BOX: 


http://www.mathgoodies.com/lessons/vol1/area_parallelogram.html 

2.Find the area of the following kite.

http://www.mathsteacher.com.au/year8/ch12_area/06_kite/kite.htm


3. Find the area of a trapezoid with bases of 17 centimeters and 19 centimeters, and a height of 2 centimeters. 
ANSWER BOX:  A =  cm2  
RESULTS BOX: 











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