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The width of a rectangle is 6 units less than the length. The area of the rectangle is 16 units. What is the length, in units, of the rectangle?

Respuesta :

unevenbeing10

length=8 units

Step-by-step explanation:

  1. LET,
  2. A=16 units
  3. L=a units
  4. B=a-6 units
  5. L*B=A
  6. Replacing value of L with 'a'. and B with 'a-6',
  7. a(a-6)=16
  8. a*a-a*6=16
  9. a^2-6a=16
  10. a^2-6a-16=0
  11. a^2-8a+2a-16=0
  12. a(a-8)+2(a-8)=0
  13. (a-8)(a+2)=0
  14. Either,. a-8=0
  15. first value a=8
  16. Or,. a+2=0
  17. second value a=-2(Rejected due to negative)
  18. therefore, a=L=8
  19. Length=8 units

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