Answer:
Let W be the width of the logo. The area of the rectangular logo is given by:
A = L × W
From the problem, we know that the length of the logo is 1.9 meters, so:
L = 1.9 m / W
We also know that the area of the logo is exactly the maximum area allowed by the building owner, so we can write:
A = max area = 25 m^2
Substituting the expression for L in terms of W, we get:
A = L × W
25 m^2 = (1.9 m / W) × W
Simplifying and solving for W, we get:
25 m^2 = 1.9 m × W
W = 25 m^2 / 1.9 m
W ≈ 13.16 m
Finally, we can use the expression for L in terms of W to find the length of the logo:
L = 1.9 m / W
L ≈ 0.144 m
Therefore, the equation that could be used to determine L, the unknown side length of the logo, is:
L = 1.9 m / W, where W is the width of the logo.
Explanation: