Krystal’s poster project for reading class is 2 feet high and 1 1 2 feet wide. Her friend Victoria’s poster is 4 feet high and 1 1 2 feet wide. How many times larger is the area of Victoria’s poster? Draw a model on the grid paper, and show your multiplication work here.

The two areas are shown in the image attached below. Each poster represents a rectangle and the ratio between the two areas ([tex]r_{A}[/tex]), no unit, is defined by the following formula:

[tex]r_{A} = \frac{w_{V}\cdot h_{V}}{w_{K}\cdot h_{K}}[/tex] (1)

Where:

[tex]w_{V}[/tex] - Width of Victoria's poster, in feet.
[tex]h_{V}[/tex] - Height of Victoria's poster, in feet.
[tex]w_{K}[/tex] - Width of Krystal's poster, in feet.
[tex]h_{K}[/tex] - Height of Krystal's poster, in feet.

If we know that [tex]h_{V} = 4\,ft[/tex], [tex]w_{V} = 1.5\,ft[/tex], [tex]h_{K} = 2\,ft[/tex] and [tex]w_{K} = 1.5\,ft[/tex], then the ratio between the two areas is:

[tex]r_{A} = \frac{(4)\cdot (1.5)}{(2)\cdot (1.5)}[/tex]

[tex]r_{A} = 2[/tex]

The area of Victoria's poster is twice the area of Krystal's poster. [tex]\blacksquare[/tex]

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