Question 1203208: https://snipboard.io/Z9BMkH.jpg
Found 4 solutions by ikleyn, papachick24025, greenestamps, MathTherapy:
Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website! .
The total area is the sum of the areas of simple elementary parts,
like rectangles and quarters of circles.
Good exercise for amateurs and/or for those who has lack of entertainments.
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Comment from student: I prefer to solve problems that people actually care about. But good to know. Thanks!
My response: I prefer that people solve such simple problems (of the complexity level 1 + 2 = 3) on their own.
There is nothing to teach here, as well as there is nothing to learn.
Such problems are not for thinking ---- they are for doing.
By the way, the goal of this site is teaching students - not doing their job.
Have a nice day !
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In your post, you write "I prefer to solve problems that people actually care about."
It is nice. I am very glad to hear about your preferences.
Do I prevent you from doing according your preferences?
Do I prevent you from solving this problem on your own?
Moreover, it is my greatest wish/dream: you solve the problems you want --- on your own.
But why in this case you post your problem to the forum?
As I understand, you post it in order the tutors solve it for you.
Do you find that these are two distinct things:
(a) You solve a problem
and
(b) tutors solve it for you ?
If you find them distinct (as I find them), then formulate your preference in this right precise terms:
"I prefer that tutors solve problems for me . . . "
In this formulation, your wish is expressed more accurately, isn't it ?
By the way, my instruction to the solution, that I placed
at my very first post, is enough to complete the job in full.
Answer by papachick24025(6)  (Show Source):
Answer by greenestamps(13200)  (Show Source):
You can put this solution on YOUR website!
Mentally, or on paper if it helps, divide the figure into simple parts:
left to right...
a quarter circle with radius 7 inches
a large rectangle 5 inches by 8 inches
a small rectangle 2 inches by 3 inches
a quarter circle with radius 4 inches
Use basic area formulas for each part and find the sum....
Answer by MathTherapy(10552)  (Show Source):
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1) Area of RECTANGLE ABIJ: 8 x 5 = 40 sq inches
2) Area of RECTANGLE CDEH: 6 x 3 = 18 sq inches
3) Area of quarter-circle MLK, with radius 7 inches: 