Question

Please help with 1 question thank you.

Answer 1

The length of the larger rectangle is x+4, and the length of the smaller one is x.

The proportions of the widths and the lengths have to be the same; thus, we can create an equation.

$\frac{5}{3} = \frac{x+4}{x}$

On the left side, multiply both the numerator and denominator by 2. Now, we have

$\frac{10}{6} = \frac{x+4}{x}$

Set the numerators equal to the numerator and denominator equal to the denominator.

x+4=10
x=6

Both of these equations are true when x=6, which is our answer. Hope this helps! :)