Answer
$Perimeter=282~cm$
$Area=4190~cm^2$
Work Step by Step
First, we find the perimeter. We simply add up the lengths of all of the given outer sides:
$Perimeter=72+19+50+19+72+50=282~cm$
To find the area we break up the figure into two pieces:
- Left parallelogram (72 cm x 45 cm)
- Right rectangle (50 cm x 19 cm)
And add up the two areas.
Left parallelogram:
We know that the area of a parallelogram is given by:
$Area=base*height$
$A=bh$
So we have:
$A=72*45$
$A=3240~cm^2$
Right rectangle:
We know that the area of a rectangle is given by:
$Area=length*width$
$A=lw$
So we have:
$A=19*50$
$A=950~cm^2$
Now we add up the two areas:
$Total~area=3240+950=4190~cm^2$
