Find area of a rectangle if length is given

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Homework Help Overview

The discussion revolves around finding the area of a rectangle given its length and a relationship with its width. The original poster attempts to show that the area can be expressed as A = 8x - x², based on a specific setup involving the length and width.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the need for additional information regarding the width of the rectangle, with one suggesting that the width is defined as 8 - x. There is also confusion about the derivation of the area formula and the relationship between length and width.

Discussion Status

The discussion is ongoing, with participants expressing uncertainty about the provided information and questioning the assumptions made regarding the dimensions of the rectangle. Some guidance is offered regarding the calculation of the area, but clarity is still sought on the overall problem context.

Contextual Notes

Participants note that there may be missing information from the original question, which could affect their understanding of the problem. The relationship between length and width is under scrutiny, and assumptions are being examined.

tayross
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if the length of a rectangle = x,
show that the area of the rectangle is given by A = 8x - x[2]
 
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You need some more information, like that the width of the rectangle is 8 - x.
 


yeah that's what i thought
the answer says

if the length = x then the width equals 1/2 (16 - 2x) = 8 - x

area = length x width

a = x (8 - x )
= 8x - x [2]

do not understand this at all blah!
 


Neither do I, there must be some information you are not giving us.
Please post the entire question.

Other than that, let us assume for a moment that we know that the length of a rectangle is x and its width is 8 - x.
Then do you agree that its area must be x(8 - x)?
Do you see how opening the brackets gives 8x - x2?
 

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