MATH SOLVE

6 months ago

Q:
# 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

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