The approximate area of lake Palestine is 39.92 square miles.
Solution:
Average area = 45.97 square miles
Let x be the area of lake Palestine.
Sum of all the lakes = 43.3 + 18.7 + 70.3 + 101.4 + 2.2 + x
= 235.9 + x
Number of lakes = 6
[tex]$\frac{\text{Sum of all the lakes}}{\text{Number of lakes}} =\text{Average}[/tex]
[tex]$\frac{235.9+x}{6} =45.97[/tex]
Multiply by 6 on both sides, we get
235.9 + x = 275.82
Subtract 235.9 on both sides.
235.9 + x - 235.9 = 275.82 - 235.9
x = 39.92
The approximate area of lake Palestine is 39.92 square miles.
