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Please express your answer clearly and try to show your work so that I can benefit from the problem. Thanks!

 

Rectangle ABCD is 8 cm by 4 cm. M is the midpoint of \(\overline{BC}\) , and N is the midpoint of \(\overline{CD}\). What is the number of square centimeters in the area of region AMCN?

 

 

 May 26, 2023
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The area of rectangle ABCD is 8×4=32 square centimeters. The area of triangle AMC is 1/2​×8×4=16 square centimeters. The area of triangle MNC is 1/2​×4×4=8 square centimeters. Therefore, the area of region AMCN is 16+8=24 square centimeters.

 May 26, 2023

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