Answer:
Its length is 37.5 cm.
Step-by-step explanation:
If two rectangles are similar, their sides are proportional, that is, they have equal ratios. So
The first rectangle has a length of 15 cm and a width of 10 cm. The width of the second rectangle is 25 cm.
So
[tex]\frac{15}{10} = \frac{l}{25}[/tex]
[tex]10l = 25*15[/tex]
Simplifying by 10.
[tex]l = 2.5*15 = 37.5[/tex]
Its length is 37.5 cm.