How do i work out the perimeter of a shape


Asked by admin @ in Mathematics viewed by 259 People


Calculate the perimeter of this shape:
19cm and 10cm given.

Answered by admin @



The perimeter of this shape is actually the same of a rectangle with sides 19 and 10.

See the attached picture: the perimeter of our shape is

AB+BC+CD+DE+EF+FA

Whereas the perimeter of the outer rectangle would be

AB+BC+CD+DG+GF+FA

So, as you can see, the only difference is that the first equation features DE+EF, while the other features DG+GF. This is not a problem, because EDGF is a rectangle, and thus we have ED=GF and EF=DG.

So, the two perimeters are actually the same:

2(10+19)=2\cdot 29=58


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