A 4-in. by 6-in. drawing is enlarged to put on a poster that measures 20 in. by 24 in. What are the dimensions of the largest possible enlargement?

16 by 24

Multiples of 4:

4, 8, 12, 16, 20, 24

Multiples of 6:
6, 12, 18, 24, 30

What do you think the dimensions will be?

Thanks

14x24

To find the dimensions of the largest possible enlargement, we need to determine the scale of the enlargement. The scale refers to the proportional increase in size between the original drawing and the enlarged version.

In this case, we can calculate the scale by dividing the dimensions of the poster by the dimensions of the original drawing. Let's do the calculations:

Width scale = 20 in. / 4 in. = 5
Height scale = 24 in. / 6 in. = 4

We can see that the width scale is 5 and the height scale is 4. Since we want to find the largest possible enlargement, we need to choose the larger of the two scales.

Therefore, the dimensions of the largest possible enlargement will be:
Width = 4 in. * 5 = 20 in.
Height = 6 in. * 4 = 24 in.

So, the largest possible enlargement will have dimensions of 20 inches by 24 inches, which match the dimensions of the poster.