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In the diagram, the area of rectangle ABCD is 40. What is the area of MBCN?

 

 Jul 1, 2022
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Note that

 

40 =  AB * BC

40 = 10 * BC

BC = 4 = AD

 

Draw MO  perpendicular to DC

 

And MO = BC

 

Area of rectangle  AMOD =  AD * AM =  4 * 5  = 20

 

Area of right triangle  MON = (1/2)(BC) (ON)  =  (1/2)(4)(3) =  6

 

Area of   MBCN =  40 -  20  - 6  =   14

 

 

cool cool cool

 Jul 1, 2022

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