What are the side lengths of the rectangle

Question

Area equals 36 inches perimeter equals 40 inches

Answer 1

Off the top of my head I say it is 18 by 2 inches

18(2) = 36

2(18+2) = 40

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Algebraically:

LW = 36

 

2(L+w) = 40

L+w = 20

L = 20-w

 

Replace L with 20-w in LW = 36

w(20-w) = 36

20w - w² = 36

w² - 20w + 36 = 0

Factoring this we need factors of 36 that add to -20

That is (-18)(-2)

w² - 20w + 36 = (w-18)(w-2) = 0

w = 18 or w = 2

 

The dimensions are 18 inches by 2 inches

Answer 2

You need more information to solve this problem.  What type of triangle is it?