4th Class Mathematics Area, Perimeter and Volume Question Bank Perimeter

  • question_answer 7) The figure shown is made up of 6 identical rectangles. If its perimeter is 108 cm, find the breadth of each rectangle.

    A)  10 cm            

    B)    15 cm

    C)    7 cm              

    D)    28 cm

    Correct Answer: C

    Solution :

    From the figure, clearly the length of each identical rectangle \[=\text{ 2}0\text{ cm }\div \text{ 2 }=\text{ 1}0\text{ cm}\] Perimeter of the given figure = 8 lengths + 4 breadths \[=\text{8}\times \text{1}0+\text{4}\times \text{breadth}=\text{1}0\text{8 cm}\] \[\therefore \] \[\text{4 }\times \text{breadth}=\text{ (1}0\text{8}-\text{8}0\text{) cm }=\text{28 cm}\] \[\therefore \]Breadth \[=\text{ 28 cm }\div \text{ 4}=\text{7 cm}\]

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