MHB Justin's Question about Rectangle in Facebook

  • Thread starter Thread starter Sudharaka
  • Start date Start date
  • Tags Tags
    Rectangle
AI Thread Summary
The discussion revolves around solving a geometry problem involving a rectangle where the length is three times the width. The original area is represented by the equation A = xy, with y defined as 3x. When each side of the rectangle is increased by 6, the new area becomes 156 more than the original area. Participants suggest setting up equations based on these parameters to find the dimensions of the new rectangle. The focus is on deriving and solving these equations to determine the values of x and y.
Sudharaka
Gold Member
MHB
Messages
1,558
Reaction score
1
Justin on Facebook writes:

hi.. I am new to geometry and my teacher gave me this equation and i have no idea how to solve it.. can u guys help me pls?

the length of a rectangle is three times as long as the width. If each side is increased by 6, the area of the new rectangle is 156 more than the area of the original rectangle. What are the dimensions of the new rectangle?
 
Last edited:
Mathematics news on Phys.org
Hi Justin, :)

Take the width of the rectangle as \(x\) and the length as \(y\). Then, \(y=3x\). The equation for the area of the rectangle being,

\[A=xy\]

Try to write an equation for the area of the new rectangle in terms of \(x,\,y\mbox{ and }A\). Notice that the new length is \(y+6\) and the width is \(x+6\). Then you can try to solve the three equations and find \(x\mbox{ and }y.\)
 

Thread 'Non-orthogonal bases'

Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
View full post »

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Similar threads

MHB Question about a rounded rectangle
Replies
1
Views
8K
MHB Justin's Question about Angles on Facebook
Replies
1
Views
2K
MHB How do we find the dimensions of a rectangle given its perimeter and diagonal?
Replies
4
Views
2K
MHB Junie12's questions at Yahoo Answers regarding optimization
Replies
1
Views
2K
C/C++ Question in throwing a class object as exception in C++
Replies
35
Views
4K
MHB BBandaRR's questions at Yahoo Answers regarding optimization
Replies
3
Views
8K
The Power of Math: How It Shapes Our World
Replies
7
Views
2K
Finding the length and width of rectangle
Replies
8
Views
3K
What Does Mathematical Sameness Mean?
Replies
7
Views
3K
I Questions about cancelation of induced EMF and minimizing eddy currents
Replies
4
Views
2K

Hot Threads

Recent Insights

Back
Top