5th Class Mathematics Area, Perimeter and Volume Question Bank Perimeter and Area

  • question_answer
    ABCD is a square of perimeter 56 m. Two triangular corners have been cut away as shown in figure. What is the perimeter of the remaining figure?

    A)  39 m                           

    B)  42 m

    C)  35 m                           

    D)  53 m

    Correct Answer: B

    Solution :

    : Perimeter of square = 56 m         \[\Rightarrow \]\[4\times \]side of square = 56 m           \[\Rightarrow \] Side of square \[=(56\div 4)=14\,m\] Now, \[AE+ED=14\text{ }m~\] \[\Rightarrow \] \[7\text{ }m+ED=14\text{ }m\] \[\Rightarrow \]\[ED=7\text{ }m\]       So, AE = AF = £F = FB = BG = FG = 7 m and ED = CG = 7 m \[\therefore \] Perimeter of remaining figure         \[=ED+DC+CG+GF+FE\] \[=(7+14+7+7+7)\,m=42\,m\]


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