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

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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.
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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?
 
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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 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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