Question

13) If the area of your simming poolis 25

times larger than your neighbors, how
many times larger is your pool compared to
theirs? What is the sale factor?)​

Answer 1

1. 25 times larger

2. The scale factor is 25:1

Explanation:

Given

Let A represent the area of your swimming pool

Let a represents the area of your neighbour's swimming pool.

From the question, we understand that the area of your swimming pool is 25 times larger than the area of you neighbour's. This can be represented as follows;

A = 25 * a. --- divide through by a

A/a = 25 * a/a

A/a = 25

This means that your pool is 25 times larger than your neighbour's.

To get the scale factor, we have to convert the expression above to ratio

A/a = 25

This can be rewritten as

A/a = 25/1

By comparison the position of constraints at the left hand side to those at the right hand side of the equation

A = 25

a = 1

So,

A : a = 25 : 1

Hence, the scale factor is 25 : 1