The diagram shows two mathematically similar shapes with areas 295c * m ^ 2 and 159.5c * m ^ 2 The width of the larger shape is 17 cm.
Calculate the width of the smaller shape.
Let's denote the width of the smaller shape as x cm.
Since the shapes are mathematically similar, their corresponding sides are proportional.
We can set up the following ratio:
(x/17) = (295/159.5)
To solve for x, we can cross-multiply and then divide:
x = (17 * 295) / 159.5
x ≈ 31.36 cm
Therefore, the width of the smaller shape is approximately 31.36 cm.