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 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
View full post »

Thread 'Six Pencil Puzzle'

Is it possible to arrange six pencils such that each one touches the other five? If so, how? This is an adaption of a Martin Gardner puzzle only I changed it from cigarettes to pencils and left out the clues because PF folks don’t need clues. From the book “My Best Mathematical and Logic Puzzles”. Dover, 1994.
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