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Question

For the polygon ABCDEF if AF+ED=BC and AB=EF+DC, then it's perimeter is .

A
8a
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B
6a
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C
10a
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Solution

The correct option is A 8a
We know perimeter is the sum of all the side lengths of any closed figure.
For the polygon, we have to find out the lengths of ED and CD.
Now, AF+ED=BC
ED=2aa=a
Similarly, AB=EF+CD
CD=2aa=a units.
Now, that we know the lengths of all the sides.
The perimeter of ABCDEF
=AB+BC+CD+DE+EF+FA
=2a+2a+a+a+a+a
=8a

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