Question

If two similar figures have areas of 48 sq in and 75 sq in and a side of the smaller figure is 4 in. find the corresponding side of the larger figure

Answer 1

You can set up a proportion like this, where the smaller figure is represented in the numerator, the larger figure in the denominator, and each fraction represents the similar relationship between them in different forms:

$\frac{48}{75} = \frac{4}{x}$

Solve for x using cross-multiplication:

$48x = 300 \\ x = 6.25$

The corresponding side of the larger figure is 6.25 inches long.