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 4 m longer than its width and the area is 96 m². What will be the length and the width of the billboard?
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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
Problem:
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 4 m longer than its width and the area is 96 m². What will be the length and the width of the billboard?
Solution:
Let x be the width and
Let x + 4 be the length of the billboard.
Since, the area of the billboard is 96 m², then x(x + 4) = 96.
The equation x² + 4x - 96 = 0 has two solutions: x = 8 or x -12.
However, we only consider the positive value x = 8 since the situation involves measure of length.
Checking:
Area of Billboard
Answer:
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