jeffheley
jeffheley jeffheley
  • 25-09-2017
  • Mathematics
contestada

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

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

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choixongdong
choixongdong choixongdong
  • 25-09-2017
3/x = 5/(x+4)
5x = 3(x+4)
5x = 3x + 12
5x - 3x = 12
2x = 12
x = 6

answer
C. 6

Answer Link
wagonbelleville wagonbelleville
  • 31-01-2019

Answer:

C. 6

Step-by-step explanation:

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

Thus, the corresponding sides of the two rectangles will be equal.

So, we get,

[tex]\frac{3}{x}=\frac{5}{x+4}[/tex]

i.e. [tex]3(x+4)=5x[/tex]

i.e. [tex]3x+12=5x[/tex]

i.e. [tex]2x=12[/tex]

i.e. x = 6.

Hence, the value of x is 6.

Answer Link

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