Question

Find the perimeter of the given figure, if the lengths are in meter.

• A. $42$ m
• B. $48$ m
• C. $56$ m
• D. $60$ m

Answer 1

The correct option is C $56$ m

Let us name the points of the given figure as $A,B,C,D,E,F,G,H$ and $I$ respectively.

Now, according to the figure

$AI=10m,BC=JF=2m,DE=EF=6m,CD=12m,IH=4m$.

Since $AB$ and $IH$ are parallel and exactly facing each other

$\therefore AB=IH=4m$

Now, $CD=GJ+FE$

$\Rightarrow 12m=GJ+6m$

$\Rightarrow GJ=6m$

$AI=BC+CG+GH$

$\Rightarrow 10=2+(DE-JF)+GH$

$\Rightarrow 10=2+(6-2)+GH$

$\Rightarrow GH=4m$

Total Perimeter $=AB+BC+CD+DE+EF+FJ+GJ+GH+HI+IA$

$=4+2+12+6+6+2+6+4+4+10$

$=56m$

Hence, the answer is $56$ meter.