+0  
 
0
45
2
avatar

What is the area in square inches of the pentagon shown?

 

 

Guest Jun 27, 2018

Best Answer 

 #1
avatar+7153 
+2

Let's divide the pentagon into shapes like this:

 

 

By SSS congruency, the two triangles at the top are congruent, and so they have the same area.

 

area of one of the triangles  =  (1/2)(base)(height)  =  (1/2)(8)(6)  =  24  sq inches

 

area of rectangle  =  (length)(width)  =  (12)(8)  =  96  sq inches

 

area of pentagon  =  area of rectangle + 2(area of one of the triangles)

area of pentagon  =  96 sq inches + 2(24 sq inches)

area of pentagon  =  96 sq inches + 48 sq inches

area of pentagon  =  144 sq inches

hectictar  Jun 27, 2018
 #1
avatar+7153 
+2
Best Answer

Let's divide the pentagon into shapes like this:

 

 

By SSS congruency, the two triangles at the top are congruent, and so they have the same area.

 

area of one of the triangles  =  (1/2)(base)(height)  =  (1/2)(8)(6)  =  24  sq inches

 

area of rectangle  =  (length)(width)  =  (12)(8)  =  96  sq inches

 

area of pentagon  =  area of rectangle + 2(area of one of the triangles)

area of pentagon  =  96 sq inches + 2(24 sq inches)

area of pentagon  =  96 sq inches + 48 sq inches

area of pentagon  =  144 sq inches

hectictar  Jun 27, 2018
 #2
avatar+87293 
+1

Very nice, hectictar.....!!!....this one had me stumped  !!!!

 

 

cool cool cool

CPhill  Jun 27, 2018

14 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.