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How many square units are in the area of the pentagon shown here with sides of length 15, 20, 27, 24 and 20 units?

 

Guest Dec 3, 2017
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If we draw a segment parallel to the base connecting the 1st vertex from the bottom left to the other side....we will have a rectangle  whose width = 24  and its height = 20.....so its area  = 480 units^2

 

And drawing a segment from this vertex to the 1st vertex from the bottom right will form two triangles....one whose height  = 7 and its base  = 24....so its area  =  (1/2) (7)(24)  = 84 units^2

 

And a right triangle will also be formed at the top....its area  = (1/2) product of the legs  =

(1/2) * 15 * 20  =  150 units^2

 

So.....the total area  =  [ 480 + 84 + 150 ]  = 714  units^2

 

 

cool cool cool

CPhill  Dec 4, 2017

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