Area of Polygons and Circles

                     Lesson 1

                                                             Problem:    Find the Area of the rectangle:

A35  EW = 12

                                                           ER = 16

 

                 

                                                             Solution     Area of rectangle is Length x Width

                                                             Step 1:                                                 

                                                                         

                                                             Solution     Here, length = 12   

                                                             Step 2:                                   

                                                                                 

                                                             Solution     Width is found by using Pythagorean Theorem:

                                                             Step 3:           ER² = EQ² + QR²                                                                                                                                                  

                                                           

                                                             Solution     Substituting the given values in the above equation,

 Step 4:     

 

                                                             Solution     16² = 12² + RQ²; RQ = 10.58

 Step 5:                                                                      

                                                           

                                                             Solution     Area = 10.58 x 12 = 126.96

 Step 6:                                                                      

                                                              

                                                             Solution     Answer: 126.96

 Step 7:                                                                                       

 Complete                                                                   

                                                                                                                               

                                                             Try two practice problems:  

 

                                                                                               Do the following: 

 

A.

A36

 

 

DR = 12

 AF = 17

B.

 

A39

 

 

    EH = 12

    XF = 21

 

 

                                                                                               

 

 

 

        

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