Final answer:
To represent the perimeter of Lloyd's backyard with an equation, simply add up the lengths of all the sides of the backyard and equate them to the given perimeter value of 271 feet. The resulting equation in simplest form is P = A + B + C + D, where P = 271.
Step-by-step explanation:
To write an equation representing the perimeter of Lloyd's backyard, you need to add up the lengths of all the sides. Assuming the backyard is a four-sided shape (a quadrilateral), and we don't know the individual lengths of the sides, we can denote them as side A, side B, side C, and side D. The equation for the perimeter (P) would be:
P = A + B + C + D
Given that the perimeter is 271 feet, we would have the following equation:
271 = A + B + C + D
This equation is already in its simplest form, where P equals the sum of all four sides, which in this case total 271 feet.