Answer: 32 square millimeters
Step-by-step explanation
There are a few ways we could approach this. But I'll break the figure up into a triangle and parallelogram as the instructions mentioned.
The triangle has base 8 and height 3.
area = 0.5*base*height = 0.5*8*3 = 12
The parallelogram has base 5 and height 4
area = base*height = 5*4 = 20
Combine the two areas to get the grand total
12+20 = 32
Notes:
- We won't use the slanted side 5 as part of any calculations. It was probably put in there as a distraction.
- The base and height are always perpendicular. This applies to triangles, parallelograms, and any other shape you can think of.
- The units "square millimeters" can be abbreviated to "sq mm" or "square mm" or mm^2 or
. The slight confusing thing about the last two notations is that
basically can be (informally) thought of as
, but don't worry about this technicality. - Rotate the figure if it helps to make the base horizontal and height vertical.