Question

Pepper jackie decides her map of the youth center is to small. She draws a new map of the youth center that is 3 times larger. What is the scale of the new map?

Answer 1

The new map is 3 times larger so it is a dilation of 3 with a scale of 3:1

Answer: 3:1

Answer 2

Answer with explanation:

Let Area covered by youth center, which might be in the shape of any closed curve= x square units→→→→Pre- image

Dilation factor of Pre image =3 ,also called scale factor

Area of the new map,drawn by Pepper Jackie,which is 3 times larger than the original youth center= 3 x  Square Units→→→→Image

Required Ratio

   $=\frac{\text{Area of the new map}}{\text{Area of original map}}\\\\=\frac{3x}{x}\\\\=3$

→Scale of the new map is 3 times longer than the scale of original map.