Question

the city is planning to build a new park by enlarging the current park by a scale factor of 4. The current park has an area of 37,625 yd squared. what is the area of the new park

Answer 1

The new area would be 602,000 yd².

When you enlarge a shape (or a park) by a factor, you are multiplying the length of its sides by that factor. In this case, we are multiplying its length and width by 4.

Let l be the old length and w be the new length. The old area would be given by A=lw.

Enlarging this by a factor of 4 would make the new length 4l and the new width 4w. The new area would be 4l(4w)=16lw. The new area is 16 times larger than the old area, so:

37,625(16)=602,000.