+0  
 
0
38
1
avatar

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
Sort: 

1+0 Answers

 #1
avatar+79846 
+2

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

31 Online Users

avatar
avatar
avatar
avatar
avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details