Question

A document that is 14 in x 18 in is redrawn to a 1 1/2 scale and redrawn again at a scale of 1/2. What are the final dimensions of the document?

a) 7 in x 9 in
b) 10.5 in x 13.5 in
c) 21 in x 27 in
d) 28 in x 36 in

Answer 1

Step-by-step explanation:

To find the final dimensions of the document after it is redrawn twice at different scales, we need to follow these steps:

1. Start with the original dimensions of the document: 14 in x 18 in.

2. First, the document is redrawn at a scale of 1 1/2. This means each side of the document is multiplied by 1 1/2 or 3/2.

- New dimensions after the first redrawn: 14 in x 18 in * (3/2) = 21 in x 27 in.

3. Next, the document is redrawn again at a scale of 1/2. This means each side of the document is multiplied by 1/2 or 0.5.

- New dimensions after the second redrawn: 21 in x 27 in * (1/2) = 10.5 in x 13.5 in.

Therefore, the final dimensions of the document are 10.5 in x 13.5 in.

The correct answer is (b) 10.5 in x 13.5 in.

Answer 2

The final dimensions of the document are 10.5 in x 13.5 in.

Step-by-step explanation:

To find the final dimensions of the document, we need to multiply the dimensions of the original document by the scale factors. The original document is 14 in x 18 in.

1. The first scale factor is 1 1/2. Multiplying the dimensions by this scale factor gives us 14 in x 18 in * 1 1/2 = 21 in x 27 in.
2. The second scale factor is 1/2. Multiplying the dimensions again gives us 21 in x 27 in * 1/2 = 10.5 in x 13.5 in.

Therefore, the final dimensions of the document are 10.5 in x 13.5 in, which corresponds to option b.