Lana has an illustration she wants enlarged.
It is 6 cm wide and has an area of .
she wants both the width and the height
doubled.

To double the height of Lana’s illustration, we first need to find the original height. The area of a rectangle is given by the formula: Area = Width × Height. Here, we have an area of and a width of . Thus, the original height is calculated as follows: . When she doubles both dimensions, the new width becomes and the new height becomes .

When scaling an illustration, it’s crucial to maintain the same aspect ratio to avoid distortion. In Lana’s case, since both dimensions are doubled, she will maintain the original proportions. Remember that while the width and height are being doubled, the area of the illustration will increase by a factor of four, resulting in a new area of (i.e., ).