Final answer:
To find the dimensions of a rectangle given its area and length, we can set up and solve an equation using the information provided.
Step-by-step explanation:
Let's call the width of the rectangle 'w'.
The length of the rectangle is 45 yards less than three times the width, so we can write the length as '3w - 45'.
The area of a rectangle can be found by multiplying its length and width, so we have the equation:
A = w * (3w - 45) = 55
Simplifying this equation gives us:
3w^2 - 45w - 55 = 0
We can solve this quadratic equation to find the values of 'w' and plug them back into the equation for the length to find all the dimensions of the rectangle.
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