karmand151
karmand151 karmand151
  • 28-09-2020
  • Mathematics
contestada

The rectangles below are similar in shape. How wide is the smaller rectangle?

The rectangles below are similar in shape How wide is the smaller rectangle class=

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gmany
gmany gmany
  • 28-09-2020

Answer:

[tex]\huge\boxed{x=28\ ft}[/tex]

Step-by-step explanation:

If two rectangles are similar, then corresponding sides are in proportion.

Therefore we have the equation:

[tex]\dfrac{x}{42}=\dfrac{36}{54}[/tex]

cross multiply

[tex]54x=(42)(36)\\\\54x=1512[/tex]

divide both sides by 54

[tex]\dfrac{54x}{54}=\dfrac{15212}{54}\\\\x=28[/tex]

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