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Answer:
8 inches
Step-by-step explanation:
Let w be the width of rectangle B.
Since, both rectangles are similar.
Therefore, corresponding lengths and widths of rectangles A and B will be in proportion.
![\therefore \frac{20}{40} = \frac{4}{w} \\ \\ \frac{1}{2} = \frac{4}{w} \\ \\ w = 2 \times 4 \\ \\ w = 8 \: inches](https://tex.z-dn.net/?f=%20%20%5Ctherefore%20%5Cfrac%7B20%7D%7B40%7D%20%20%3D%20%20%5Cfrac%7B4%7D%7Bw%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%3D%20%20%5Cfrac%7B4%7D%7Bw%7D%20%20%5C%5C%20%20%5C%5C%20w%20%3D%202%20%5Ctimes%204%20%5C%5C%20%20%5C%5C%20w%20%3D%208%20%5C%3A%20inches)
Area is base x height
4x2=8 cm