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Vlad1618 [11]
3 years ago
12

The rectangles in the figure below are similar. Find the value of x

Mathematics
2 answers:
lidiya [134]3 years ago
5 0
3/x = 5/(x+4)
5x = 3(x+4)
5x = 3x + 12
5x - 3x = 12
2x = 12
x = 6

answer
C. 6

V125BC [204]3 years ago
3 0

Answer:

C. 6

Step-by-step explanation:

It is given that the rectangles in the figure are similar.

<em>Thus, the corresponding sides of the two rectangles will be equal.</em>

So, we get,

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

i.e. 3(x+4)=5x

i.e. 3x+12=5x

i.e. 2x=12

i.e. x = 6.

Hence, the value of x is 6.

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