How Do You Calculate the Dimensions of Two Equal-Area Rectangular Tables?

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Discussion Overview

The discussion revolves around calculating the dimensions of two equal-area rectangular tables based on given relationships between their lengths and widths. The scope includes mathematical reasoning and problem-solving related to geometry and algebra.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant states that the length of the first plot is one and a half times its width, denoting the width as x meters.
  • Another participant mentions that the length of the second plot is seven meters less than three times its width, denoting the width as y meters.
  • There is a request for a relationship between x and y based on the areas being equal.
  • One participant expresses difficulty in understanding the problem and requests guidance on how to start.
  • Another participant reiterates the problem statement and asks how to express the length of the first plot in terms of x.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus, as there are expressions of confusion and requests for clarification, indicating that the discussion remains unresolved.

Contextual Notes

Some participants have not provided their attempts at solving the problem, which may limit the ability to assist effectively. There are also unresolved mathematical steps regarding the derivation of the relationship between x and y.

ladybutterz
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Two rectangular tables are equal in area. The length of the first plot is on and a half times its width. The length of the second plot is seven (7) metre less than three times its width.

a) Denoting the width of the first plot by x meters and the width of the second plot by y meters, derive a relationship between x and y.

b) If y=x+1, calculate the values of x an y
 
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Can you show us what you have tried? Our helpers are better able to help if we can see exactly where you are stuck and what you have done. :D
 
MarkFL said:
Can you show us what you have tried? Our helpers are better able to help if we can see exactly where you are stuck and what you have done. :D

thats the problem i really don't understand it i really don't know where to start mathematics is a little difficult for me at times
 
Okay, let's look at what we are given:

Two rectangular tables are equal in area. The length of the first plot is one and a half times its width. The length of the second plot is seven (7) meters less than three times its width.

a) Denoting the width of the first plot by x meters and the width of the second plot by y meters, derive a relationship between x and y.

b) If y=x+1, calculate the values of x and y

For a rectangle, we know:

Area = Width times Length

For the first plot we are told:

The length of the first plot is one and a half times its width.

We are told to denote the width of the first plot by $x$. If the length is one and a half times the width, then how may we express the length of this first plot in terms of the width $x$?
 

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