Problema Solution
A community park wants to place a rectangular billboard to inform guests of their new attractions. Suppose the length of the billboard to be placed is 5m longer than its width and the area is 500m2. What will be the length and the width of the billboard?
Let w be the width of the billboard
Answer provided by our tutors
Let
w = the width of the billboard
l = the length of the billboard
l = w + 5
A = 500 m^2 the area of the billboard
Since A = w*l and l = w + 5 we have:
A = w(w + 5)
w(w + 5) = 500 (We plug the value for A = 500)
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click here to see the equation solved for the width w
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w = 20 m
We need to ignore the negative solution - 25 since the width can not be negative.
l = 20 + 5
l = 25 m
The length of the billboard will be 25 m and the width will be 20 m.