Question

Which of the following figures will have the smallest perimeter?

Answer 1

● Perimeter of a closed figure = Sum of the lengths of all sides
For figure A:
● The figure is a rectangle. Hence, its opposite sides are of the same length.
● Hence, perimeter of figure A $=17+9+17+9$
● Perimeter of figure $A=52$ in
For figure B:
● Perimeter of figure B $=19+19+12$
● Perimeter of figure B $=50$ in
For figure C:
● Perimeter of figure C $=5+9+7+5+7+9+5+9+7+5+7+9$
● Perimeter of figure C $=84$ in
Therefore, figure B has the smallest perimeter.

Hence, option D is the correct answer.