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The area of the shaded region is 78 square inches. All angles are right angles and all measurements are given in inches. What is the perimeter of the non-shaded region?
 

 Apr 22, 2018
 #1
avatar+98000 
+2

The area  of the small rectangle at the bottom right is 4 * 2  =  8 in^2

 

So....the rest of the shaded area must be  70 in ^2

 

But the dimensions the whole figure less the small rectangle at the bottom right are  10 * 8  = 80 in^2

 

So....the  area  of the non-shaded area in the middle must just be  80  - 70   = 10 in^2

 

So...since its height  = 2  ..its width must be  5 in

 

And its perimeter must be  2 (2 + 5 )   =  14 in

 

 

cool cool cool

 Apr 22, 2018
 #2
avatar+3987 
+2

Thanks so much, CPhill! smileysmiley

 Apr 22, 2018

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