Answer:
180x - x²
Step-by-step explanation:
Since the yard has 360 yd. of fencing, hence the perimeter of Rick's lumberyard has 360 yd.
Given that the yard is x yards long. Let y represent the width of the yard. Hence:
Perimeter of the yard = 2(length + width) = 2(x + y)
Substituting:
360 = 2(x + y)
180 = x + y
y = 180 - x
Therefore the width of the yard is (180 - x) yard.
The area of the yard is the product of the length and the width, hence:
Area (A) = length * width
A = x * (180 - x)
A = 180x - x²
