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Posted: 3/20/2019 10:26:31 PM EDT
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Wife asked me if I could figure this out for our third grader. Looks like it’s missing a few key measurements. Am I missing something?  How do you figure out the middle part?
Link Posted: 3/20/2019 10:28:23 PM EDT
[#1]
Is the same shape showed above with additional notations?
Link Posted: 3/20/2019 10:29:19 PM EDT
[#2]
Subtract 2 and 3 from 9
Link Posted: 3/20/2019 10:29:54 PM EDT
[#3]
Its missing a number.
Link Posted: 3/20/2019 10:30:49 PM EDT
[#4]
Maybe it’s intended that you make the assumption the “missing” part is a 4” square? Otherwise, you can’t, need a reference point on your height. Have her sub in X and teach her algebra!

Nope that can’t be right.
Link Posted: 3/20/2019 10:31:02 PM EDT
[#5]
Missing the height of the smaller section.
Link Posted: 3/20/2019 10:32:34 PM EDT
[#6]
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Quoted:
Its missing a number.
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This.  Veritcal dimension missing on internal notch.
Link Posted: 3/20/2019 10:32:47 PM EDT
[#7]
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Quoted:
Its missing a number.
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Link Posted: 3/20/2019 10:33:07 PM EDT
[#8]
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Quoted:
Its missing a number.
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This. You don’t know the height of the sides of the center cutout portion.
Link Posted: 3/20/2019 10:33:48 PM EDT
[#9]
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Quoted:
Subtract 2 and 3 from 9
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Okay?  And then?
Link Posted: 3/20/2019 10:34:49 PM EDT
[#10]
No ruler or tape measure in the house?
Link Posted: 3/20/2019 10:35:01 PM EDT
[#11]
Put down >20 sq/in.  It will technically be right.
Link Posted: 3/20/2019 10:35:18 PM EDT
[#12]
It's not even to scale.
Link Posted: 3/20/2019 10:35:23 PM EDT
[#13]
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Quoted:
This.  Veritcal dimension missing on internal notch.
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Quoted:
Quoted:
Its missing a number.
This.  Veritcal dimension missing on internal notch.
That’s what I’m seeing.

-Math teacher.
Link Posted: 3/20/2019 10:35:30 PM EDT
[#14]
Discussion ForumsJump to Quoted PostQuote History
Quoted:
Its missing a number.
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Link Posted: 3/20/2019 10:36:24 PM EDT
[#15]
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Quoted:
Subtract 2 and 3 from 9
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Never mind
Link Posted: 3/20/2019 10:36:28 PM EDT
[#16]
Quoted:
https://www.AR15.Com/media/mediaFiles/169716/6AC1CB0D-CF4F-4E55-BB1F-8C9D9CFB9799_jpeg-884818.JPG

Wife asked me if I could figure this out for our third grader. Looks like it’s missing a few key measurements. Am I missing something?  How do you figure out the middle part?
View Quote
24 total?
Link Posted: 3/20/2019 10:37:17 PM EDT
[#17]
Trick question?
Link Posted: 3/20/2019 10:37:44 PM EDT
[#18]
I'd say the missing measurement looks to be about 3 inches. And believe me...I know what 3 inches looks like.
Link Posted: 3/20/2019 10:39:15 PM EDT
[#19]
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Quoted:
This.  Veritcal dimension missing on internal notch.
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Discussion ForumsJump to Quoted PostQuote History
Quoted:
Quoted:
Its missing a number.
This.  Veritcal dimension missing on internal notch.
Link Posted: 3/20/2019 10:39:28 PM EDT
[#20]
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Quoted:
No ruler or tape measure in the house?
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That wouldn't work since the height is longer than the center width and yet they both have 4 as a measurement.
Link Posted: 3/20/2019 10:39:37 PM EDT
[#21]
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Quoted:
It's not even to scale.
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Yep.
Link Posted: 3/20/2019 10:41:34 PM EDT
[#22]
WAG?
Link Posted: 3/20/2019 10:42:34 PM EDT
[#23]
Great time to teach the youngin' variables.

20 + 4x

Whoever made that problem must be related to the draftsman of one of our customers.
Link Posted: 3/20/2019 10:43:06 PM EDT
[#24]
24 square inches

the bottom piece is 1x4

use the length of the 3 inch side as a scale by reflecting it across the diagonal

Link Posted: 3/20/2019 10:44:39 PM EDT
[#25]
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Quoted:
It's not even to scale.
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In all fairness, I don't believe I've ever come across a math problem that was drawn to scale.
Link Posted: 3/20/2019 10:44:55 PM EDT
[#26]
Link Posted: 3/20/2019 10:45:02 PM EDT
[#27]
The missing dimension is 1 because if the whole side is 4, that missing dimension is less than half, and they are only using whole integers.
Link Posted: 3/20/2019 10:48:18 PM EDT
[#28]
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Quoted:
That wouldn't work since the height is longer than the center width and yet they both have 4 as a measurement.
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View All Quotes
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Quoted:
Quoted:
No ruler or tape measure in the house?
That wouldn't work since the height is longer than the center width and yet they both have 4 as a measurement.
Yes, but the question is, find the area of the shape. So measure all dimensions and give the the actual correct answer.
Link Posted: 3/20/2019 10:48:58 PM EDT
[#29]
Link Posted: 3/20/2019 10:51:00 PM EDT
[#30]
Discussion ForumsJump to Quoted PostQuote History
Quoted:
It's missing a dimension.

Have the kid draw a dimension on the center part.  Call it A.

Then calculate the total area by summing all the parts,
4X2 + 4X3 + 4A = 20 + 4A.
View Quote
He clearly knows how to solve it WHEN the dimensions are available. He’s already figured out the area of the two larger areas but without the height dimension he can’t figure it out.

And I think it’s fair to say we don’t expect an 8 year old to start graphing out stuff to scale.
Link Posted: 3/20/2019 10:51:01 PM EDT
[#31]
It’s likely public education, so just explain how the problem made you feel.
Link Posted: 3/20/2019 10:53:51 PM EDT
[#32]
Bad question
Link Posted: 3/20/2019 10:55:11 PM EDT
[#33]
I've helped all my kids with math, every once in a while, the book does get one wrong.  This is one of those times.
Link Posted: 3/20/2019 10:56:52 PM EDT
[#34]
no way to derive the height of the central rectangle.

IOW, teacher error.
Link Posted: 3/20/2019 10:56:57 PM EDT
[#35]
I'd tell him to solve for the parts he can and write why he can't solve the middle part (missing a measurement). The teacher should recognize that he is right.
The drawing's not to scale so trying to guess the missing length is likely to be wrong.
Link Posted: 3/20/2019 10:57:48 PM EDT
[#36]
Hint a^2 +b^2 =c^2

That will provide all the missing numbers
Link Posted: 3/20/2019 10:58:20 PM EDT
[#37]
Just tell em the shape identifies as female because it's got a slot in it.

The problem is un-answerable without information about the scale or another internal dimension of the depth of the indent.
Link Posted: 3/20/2019 10:59:27 PM EDT
[#38]
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Quoted:

Yes, but the question is, find the area of the shape. So measure all dimensions and give the the actual correct answer.
View Quote
It's math class.  The purpose of which is to test math skills, not using rulers.  The answer is the problem is not solvable because the test preparer left out the dimension for the inner legs of the outside vertical rectangles.
Link Posted: 3/20/2019 10:59:39 PM EDT
[#39]
Drawing under defined and over defined concurrently. Question fail.
Link Posted: 3/20/2019 11:01:51 PM EDT
[#40]
If, using a tape measure, the vertical side actually measures 4 inches and the measurement of the center section measures 1 inch then the answer = 1x4 + 20 = 24 square inches.

If using a tape measure/ruler is not allowed, then it has been far too fookin long since I sat a math class
Link Posted: 3/20/2019 11:02:03 PM EDT
[#41]
Discussion ForumsJump to Quoted PostQuote History
Quoted:
24 square inches

the bottom piece is 1x4

use the length of the 3 inch side as a scale by reflecting it across the diagonal

https://www.AR15.Com/media/mediaFiles/3097/4FE703A6-B81A-47D4-B622-2F934ED8C416-884852.jpg
View Quote
That doesn’t work.
Link Posted: 3/20/2019 11:03:31 PM EDT
[#42]
Surely the math teacher previewed the homework questions, or were they “sick”?
Link Posted: 3/20/2019 11:05:04 PM EDT
[#43]
Edit... I have my head up my butt. This does not work
Link Posted: 3/20/2019 11:08:51 PM EDT
[#44]
Discussion ForumsJump to Quoted PostQuote History
Quoted:

Edit... I have my head up my butt. This does not work
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Where are you getting 24?
Link Posted: 3/20/2019 11:09:06 PM EDT
[#45]
Discussion ForumsJump to Quoted PostQuote History
Quoted:
If, using a tape measure, the vertical side actually measures 4 inches and the measurement of the center section measures 1 inch then the answer = 1x4 + 20 = 24 square inches.

If using a tape measure/ruler is not allowed, then it has been far too fookin long since I sat a math class
View Quote
The purpose of the test is to show understanding of the how to calculate area using math skills.  One does not show math skills by "solving" the problem by making assumptions about the scalability of the drawing.  One shows that the problem can't be solved with the given dimensions and points out the missing dimension needed to solve the problem.
Link Posted: 3/20/2019 11:09:19 PM EDT
[#46]
36 - 4h where h is the height of the notch.  That's the best I can do.
Link Posted: 3/20/2019 11:11:55 PM EDT
[#47]
The height has to be 1. It is not as tall as 2 or 3 and they are using whole numbers. Sides are 4 and that section is less than half the height of 4 so it has to be 1
Link Posted: 3/20/2019 11:12:16 PM EDT
[#48]
total is 36 minus indent of 12=24
Link Posted: 3/20/2019 11:14:07 PM EDT
[#49]
Discussion ForumsJump to Quoted PostQuote History
Quoted:
24 square inches

the bottom piece is 1x4

use the length of the 3 inch side as a scale by reflecting it across the diagonal

https://www.AR15.Com/media/mediaFiles/3097/4FE703A6-B81A-47D4-B622-2F934ED8C416-884852.jpg
View Quote
This assumes the drawing is to scale, and it doesn't appear to be.  (If we assume you are correct and the bottom beam is 1", that means the slot above is 3" high. However, the bottom beam is actually drawn as exactly half the size of the slot height). The drawing can't be to scale.
Link Posted: 3/20/2019 11:15:26 PM EDT
[#50]
Discussion ForumsJump to Quoted PostQuote History
Quoted:
The height has to be 1. It is not as tall as 2 or 3 and they are using while numbers. Sides are 4 and that section is less than hlf the height of 4 so it has to be 1
View Quote
You can’t assume while numbers.
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