Find the area of the shaded region

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onesun0000

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I am not sure whether my answer is correct. I just assumed that the shaded region is a square and its diagonal is half the measure of the diagonal of the entire figure. my answer is 8cm.

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onesun0000 said:
I am not sure whether my answer is correct. I just assumed that the shaded region is a square and its diagonal is half the measure of the diagonal of the entire figure. my answer is 8cm.

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The shaded region is a quadrilateral with 4 equal sides (as shown by the double dashes). It's not obvious to me that it's a square. It's even less obvious that "its diagonal is half the measure of the diagonal of the entire figure". Please post the image of the entire problem.
 
lev888 said:
The shaded region is a quadrilateral with 4 equal sides (as shown by the double dashes). It's not obvious to me that it's a square. It's even less obvious that "its diagonal is half the measure of the diagonal of the entire figure". Please post the image of the entire problem.
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that's it. It's all that's given. I also thought the problem has insufficient given.
 
onesun0000 said:
I am not sure whether my answer is correct. I just assumed that the shaded region is a square and its diagonal is half the measure of the diagonal of the entire figure. my answer is 8cm.

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Your subject line is "Find the area of the shaded region"

your answer is "8cm."

That would be incorrect. The dimension of an area is "sq.cm" or "cm^2" or "cm2".
 
onesun0000 said:
that's it. It's all that's given. I also thought the problem has insufficient given.
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Can you please tell us the EXACT problem statement as it was given to you?

Is it one problem from - a set of problems, where other information may have been given at the beginning?
 
Subhotosh Khan said:
Can you please tell us the EXACT problem statement as it was given to you?

Is it one problem from - a set of problems, where other information may have been given at the beginning?
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sorry. 8 sq. cm. But that's just an answer based on assumptions, which is incorrect because what I assumed is not stated. Here's the whole page of the worksheet:
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onesun0000 said:
sorry. 8 sq. cm. But that's just an answer based on assumptions, which is incorrect because what I assumed is not stated. Here's the whole page of the worksheet:
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Assuming, your assumption (of 1/2 diagonal) is correct, then;

Area of the square = \(\displaystyle \left[\frac{D}{\sqrt{2}}\right]^2\)

You see if the diagonal is "halved" then the area "quartered".

So fix your answer accordingly.
 
onesun0000 said:
sorry. 8 sq. cm. But that's just an answer based on assumptions, which is incorrect because what I assumed is not stated. Here's the whole page of the worksheet:
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Can you solve the other problems? They make much more sense than #5. #4 is not very clear, but it seems we have enough information.
 
lev888 said:
Can you solve the other problems? They make much more sense than #5. #4 is not very clear, but it seems we have enough information.
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Yes. I can solve for them. It's just no. 5. And there's one more that bothers me. I don't know the figure on no. 7 has enough information. This is the same book where the latter question is from.

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onesun0000 said:
Yes. I can solve for them. It's just no. 5. And there's one more that bothers me. I don't know the figure on no. 7 has enough information. This is the same book where the latter question is from.

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If we assume that the 2 arrow point angles are 90 degrees, we can calculate the total area.
 
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