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Two rectangles are similar. The first rectangle has a length of 15 cm and a width of 10 cm. The width of the second rectangle is 25 cm. What is its length?

Sagot :

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.