Answer:
3 + 2√(2)
Step-by-step explanation:
Since the larger plot is 1²m greater than the smaller one.
Let x denote the length of the smaller one, this implies that the larger would be x + 1.
Since the combined length is 3 + 2√(2) we have:
x + (x + 1) = 3 + 2√(2)
2x + 1 = 3 + 2√(2)
2x = 2 + 2√(2)
x = 1 + √(2)
This is the length of the smaller plot. It's area would therefore be:
x² = [1 + √(2)]² = 1 + 2√(2) + 2 = 3 + 2√(2)
