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• The two rectangles below are similar.1096What is the value of x?O 15O 30O 5.45O 6.7ok

• The two rectangles below are similar.1096What is the value of x?O 15O 30O 5.45O-example-1

1 Answer

3 votes

Similar Rectangles

When two rectangles are similar, the ratio of their corresponding sides is the same.

Side x of the largest rectangle corresponds to side 10 of the smallest rectangle.

Side 9 of the largest rectangle corresponds to side 6 of the smallest rectangle.

Therefore:


\begin{gathered} (x)/(10)=(9)/(6) \\ \text{Multiply by 10:} \\ x=10\cdot(9)/(6)=(90)/(6) \\ x=15 \end{gathered}

x = 15

User Ingo Radatz
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