Answer:
620
Step-by-step explanation:
To find the area of strangely-shaped structures, like this one, it is easiest if we cut the shape into smaller, more recognizable, shapes..
We can first cut off the top/center rectangle of this shape , which has a width of 10, and a length of 12. The "area" is length × width.
So, we multiply 12 × 10 to find the area of this section.
12 × 10 = 120
if we look at the bottom half, we can see that there is an identical rectangle (because it has the same width of 10 and length of 12) ! So, we can simply add 120 to our total twice to count both of these areas.
(when putting areas of multiple portions together, we add--not multiply)
120 (first/top rectangle)
+ 120 (lower rectangle)
_______________
240
So, our area so far is 240.
Now, we need to find the horizontal (left-right) section of this shape.
We can see that it has a width of 10 (look at the right end), and a length of 38 14 + 10 + 14 (38 total)
So, to find the area of this portion, we will multiply its length × width, which we know is: 38 × 10
38 × 10 = 380.
So, we can now add our areas together:
240
+ 380
__________
620
So, our area of this shape is 620
