Answer:
On 7.8 acres there are 31565.3 square meters
7.8 acres = 31565.3 m²
Explanation:
Conceptual analysis
Acre, square mile and square meter are area units, so their equivalences are in square units.
Known data
1 (mi)² = 640 acres
1 mi = 1609.34 m
Problem development
We know that 1 mile = 1609.34m, then: (1 mile)² = (1609.34m)²=(1609.34)²m²
We apply the known conversion factors to calculate the square meters (X) in 7.8 acres:
[tex]X=7.8 acres *\frac{(1 mi)^{2} }{640 acres} * \frac{(1609.34)^{2}m^{2} }{(1 mi)^{2} }[/tex]
We eliminate acres and square miles (mi²) because they are in the numerator and denominator, so the answer is in square meters (m²)
X=31565.3 m²
On 7.8 acres there are 31565.3 square meters
7.8 acres = 31565.3 m²
