MHB New Billboard Dimensions: 4m x (4m + 96cm^2)

  • Thread starter Thread starter Peppermint
  • Start date Start date
  • Tags Tags
    Dimensions
AI Thread Summary
The amusement park plans to install a rectangular billboard where the length is 4m longer than the width, and the area is initially stated as 96cm². However, this area is deemed impossible given the dimensions, leading to the assumption that the area should actually be 96m². To find the dimensions, the equation x(x + 4) = 96 is used, where x represents the width. Solving this equation will yield the correct width and length of the billboard, confirming the area in square meters. The discussion highlights the importance of accurate area measurement in relation to billboard dimensions.
Peppermint
Messages
1
Reaction score
0
An amusement park wants to place a new rectangular billboard to inform visitors of their new attractions. Suppose the length of the billboard to be placed is 4m longer than its width and the area is 96cm^2. What will be the length and the width of the billboard?
 
Mathematics news on Phys.org
Solve x(x + 4) = 96 for x (which is the width).
 
The original post said "the area is 96 cm^2". That is impossible if the length is to be "4 m longer than its width". Prove It is assuming that the area is 96 m^2.
 

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 'Video on imaginary numbers and some queries'

Thread 'Video on imaginary numbers and some queries'

Hi, I was watching the following video. I found some points confusing. Could you please help me to understand the gaps? Thanks, in advance! Question 1: Around 4:22, the video says the following. So for those mathematicians, negative numbers didn't exist. You could subtract, that is find the difference between two positive quantities, but you couldn't have a negative answer or negative coefficients. Mathematicians were so averse to negative numbers that there was no single quadratic...
View full post »
Thread 'Unit Circle Double Angle Derivations'

Thread 'Unit Circle Double Angle Derivations'

Here I made a terrible mistake of assuming this to be an equilateral triangle and set 2sinx=1 => x=pi/6. Although this did derive the double angle formulas it also led into a terrible mess trying to find all the combinations of sides. I must have been tired and just assumed 6x=180 and 2sinx=1. By that time, I was so mindset that I nearly scolded a person for even saying 90-x. I wonder if this is a case of biased observation that seeks to dis credit me like Jesus of Nazareth since in reality...
View full post »

Similar threads

I What is the role of geometry and dimensional operations?
Replies
3
Views
2K
I Dimension of an Angle: Clarifying the SI Standard
Replies
1
Views
2K
MHB Word problem - linear equation.
Replies
2
Views
2K
MHB Word problem(finding dimensions)
Replies
6
Views
2K
MHB Width of a rectangular frame in terms of x.
Replies
4
Views
2K
MHB How Do You Calculate the Dimensions of Two Equal-Area Rectangular Tables?
Replies
3
Views
2K
MHB Dimension of the cut-out squares that result in largest possible side area
Replies
3
Views
3K
MHB Justin's Question about Rectangle in Facebook
Replies
1
Views
2K
MHB Maximizing Volume of a Cuboid - Nthabiseng P's Q&A
Replies
1
Views
2K
MHB How do we find the dimensions of a rectangle given its perimeter and diagonal?
Replies
4
Views
2K

Hot Threads

Recent Insights

Back
Top