Describe how to solve problems for the area of a reduced or enlarged figure when the scale factor and dimensions of the original figure are given.
Accepted Solution
A:
We are going to define the following variables: A: Area of the original figure. k: scale factor. We have that the area of the new figure (reduced or enlarged, depends on the value of k) is: A '= k ^ 2 * A Example: rectangle of dimensions (2) * (3) A factor of k = 2 is extended. Find the new area. The original area is: A = (2) * (3) = 6 The new area will be: A '= (2 * 2) * (2 * 3) = 4 * 6 = 24 Or equivalently: A '= k ^ 2 * A A '= (2) ^ 2 * (6) = 4 * 6 = 24