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The diagram shows a polygon. Find the area, in cm², of the whole diagram. ​

The Diagram Shows A Polygon Find The Area In Cm Of The Whole Diagram class=

Sagot :

Answer:

Bottom part = 10 * 12 = 120 square centimeters

Top part 8 * 6 = 48 square centimeters

Total Area = 168 square centimeters

Step-by-step explanation:

Answer:

168 [tex]cm^{2}[/tex]

Step-by-step explanation:

Consider the picture, break it into a rectangle with a triangle on top.  Use the following equation to find the total area of the figure.

[tex]A_{total}[/tex] = [tex]A_{rectangle} + A_{triangle}[/tex]

        = length×width + [tex]\frac{1}{2} bh[/tex]

       =  (12cm)(10cm) + [tex]\frac{1}{2}(12cm)(8cm)[/tex]

       = 120[tex]cm^{2}[/tex] + 48[tex]cm^{2}[/tex]

       = 168[tex]cm^{2}[/tex]