Question

A rectangle has a height to width ratio of 2:4.5 Give two examples of dimensions for rectangles that could be scaled versions of this rectangle.

Answer 1

To find scaled versions of a rectangle with a height to width ratio of 2:4.5, we multiply both terms of the ratio by the same factor. Examples are rectangles with dimensions of 4x9 inches and 20x45 inches, scaled by factors of 2 and 10 respectively.

Step-by-step explanation:

The ratio given for the height to width of a rectangle is 2:4.5. To create scaled versions of this rectangle, we simply need to find dimensions that are proportional to this ratio. The key here is maintaining the ratio between the height and width the same as in the original rectangle.

Let's express the ratio as fractions to make it easier to scale: 2/4.5. The simplest way to find multiples of this fraction is to multiply both the numerator and the denominator by the same number to maintain the ratio.

Examples of Scaled Rectangles

1. Scale by a factor of 2: 4 (height) and 9 (width). Here we simply multiplied both terms of the ratio (2 and 4.5) by 2.
2. Scale by a factor of 10: 20 (height) and 45 (width). Again, we multiplied both terms of the ratio by 10.

Both sets of dimensions are scaled versions of the original rectangle with a height to width ratio of 2:4.5.