What will happen to the area of a rectangle if the length triples?

Answer 1

The previous answer (below) is seriously flawed.

The area of a rectangle is L*W, NOT 2L + 2W, which is its perimeter!

So, if you triple [just] the length, L must be replaced by 3L

W remains unaffected and the new area is 3L*W or 3LW which is 3 times the original area.

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The area of a rectangle is 2Length + 2Width (1)

If you triple the length your length then this happens... 2(3*Length) + 2Width (2)

Lets just assign numbers to the length and width for each equations

Length=5

Width=3

2(5) + 2(3) = 16 (1)

2(15) + 2(3)= 36 (2)

Lets do a different set of numbers to compare

Length=7

Width=2

2(7) + 2(2) = 18 (1)

2(21) + 2(2) = 46 (2)

Obviously these ratios are different. So it depends on what your initial length is before you triple it. But in the first assigned numbers the area went up around 2.25 times greater. In the second assigned numbers the area increased by a factor of 2.55