Answer:
Area of the new park is 602000 yd² .
Step-by-step explanation:
Formula
[tex]k^{2} = \frac{Area\ of\ new\ park}{Area\ of\ current\ park}[/tex]
Where k is the scale factor.
As given
The city is planning to built a new park by enlarging the current park by a scale factor of 4.
The current park has an area of 37,625 yd².
k = 4
Putting all the values in the formula
[tex]4^{2} = \frac{Area\ of\ new\ park}{37625}[/tex]
Area of new park = 16 × 37625
= 602000 yd²
Therefore the area of the new park is 602000 yd² .
