Question

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. What is the area of the new park? Enter your answer in the box.

Answer 1

The answer is 602,000 yd^2.

multiply the original area by 16.

37625*16=602000

Answer 2

Area of the new park is 602000 yd² .

Explanation:

Formula

`k^(2) = (Area\ of\ new\ park)/(Area\ of\ current\ park)`

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

`4^(2) = (Area\ of\ new\ park)/(37625)`

Area of new park = 16 × 37625

= 602000 yd²

Therefore the area of the new park is 602000 yd² .