Question

1. shawna reduced the size of a rectangle to a height of 2 in. what is the new width if it was originally 24 in wide and 12 in tall?

Explanation:

Step1: Find the scale factor

The original height is \(12\) in and the new height is \(2\) in. The scale factor \(k\) for the height (and since it's a reduction for the whole rectangle, same scale factor for width) is \(k=\frac{new\ height}{original\ height}\).

$$k = \frac{2}{12}=\frac{1}{6}$$

Step2: Calculate the new width

The original width is \(24\) in. Let the new width be \(w\). Using the scale - factor formula \(w=original\ width\times k\).

$$w = 24\times\frac{1}{6}$$

$$w = 4$$

Answer:

The new width is \(4\) inches.