Ledah
  • Ledah
Two regular decagons have areas of 30 mm² and x² + 7x mm². What values of x make the decagons congruent?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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apoorvk
  • apoorvk
Since the areas are equal, equate the expressions for both areas: \[30 = x^2 + 7x\] Now, bring every term to the same side, and lo! you have a quadratic. solve it, find 'x' and enjoy!
FoolAroundMath
  • FoolAroundMath
Two polygons are congruent if they are exactly the same. What can you say about the area of two congruent polygons?
Ledah
  • Ledah
They should also be the same

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FoolAroundMath
  • FoolAroundMath
So, all you have to do is equate their areas and get a quadratic equation as obtained by @apoorvk and solve it.
Ledah
  • Ledah
I got 5 and -6 as an answer.. I'm not sure if its right I'm still checking my work
apoorvk
  • apoorvk
Umm, sorry that isn't correct - did you split the middle term and factorize it?
FoolAroundMath
  • FoolAroundMath
\(x=5\) does not satisfy the equation. What you have is \(x^{2}+7x-30 = 0\) Can you factorise the left hand side?

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