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A rectangle has a width of 9 km and a length of 6 km. How does the area change when each dimension is multiplied by 3?

User TOMARTISAN
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The area of the rectangle increases by a factor of 9
User Diahanna
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For this case we have that by definition the area of a rectangle is given by:


A = wl

Where

  • w: width of the rectangle
  • l: length of the rectangle

The area of the original rectangle is given by:


A1 = (9) (6)\\A1 = 54

The area of the new rectangle is given by:


A2 = (3 * 9) (3 * 6)\\A2 = 9 * (9) (6)\\A2 = 9 * 54\\A2 = 9 * A1

Therefore, the original area increases with a factor of 9.

Anwer:

the original area increases by a factor of 9.


A2 = 9 * A1

User Antonmos
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