Maths-
General
Easy

Question

In figure, stack A B with rightwards arrow on top equals 3 stack i with minus on top minus stack j with minus on top comma stack A C with rightwards arrow on top equals 2 stack i with minus on top plus 3 stack j with minus on top and stack D E with rightwards arrow on top equals 4 stack i with minus on top minus 2 stack j with minus on top then the area of the shaded region in square units is

  1. 5    
  2. 6    
  3. 7    
  4. 8    

The correct answer is: 8



    table row cell text end text text W end text text e end text text end text text h end text text a end text text v end text text e end text text end text stack B C with bar on top equals stack B A with rightwards arrow on top plus stack A C with rightwards arrow on top end cell row cell equals left parenthesis negative 3 stack i with minus on top plus stack j with minus on top right parenthesis plus left parenthesis 2 stack i with minus on top plus 3 stack j with minus on top right parenthesis equals negative stack i with minus on top plus 4 stack j with minus on top end cell row cell text end text text V end text text e end text text c end text text t end text text o end text text r end text text end text text a end text text r end text text e end text text a end text text end text text o end text text f end text text end text text t end text text h end text text e end text text end text text s end text text h end text text a end text text d end text text e end text text d end text text end text text r end text text e end text text g end text text i end text text o end text text n end text text end text text i end text text s end text text end text text g end text text i end text text v end text text e end text text n end text text end text text b end text text y end text text end text end cell row cell fraction numerator 1 over denominator 2 end fraction stack E D with rightwards arrow on top cross times stack E B with bar on top plus fraction numerator 1 over denominator 2 end fraction stack E C with rightwards arrow on top cross times stack E D with bar on top end cell row cell equals fraction numerator 1 over denominator 2 end fraction left square bracket stack E D with bar on top cross times left parenthesis stack E B with bar on top minus stack E C with rightwards arrow on top right parenthesis right square bracket end cell row cell equals fraction numerator 1 over denominator 2 end fraction left parenthesis stack E D with bar on top cross times stack C B with bar on top right parenthesis equals fraction numerator 1 over denominator 2 end fraction left parenthesis 16 stack k with minus on top minus 2 stack k with minus on top right parenthesis equals 7 stack k with minus on top end cell row cell text end text text A end text text r end text text e end text text a end text text end text equals ∣ text end text text V end text text e end text text c end text text t end text text o end text text r end text text end text A r a ∣ equals 7 end cell end table

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