<PRE><B>Question 1134281</B>
Let l be length and w be width, we know that
:
2l +2w = 34
:
1) l +w = 17
:
By Pythagorean Theorem, we know that
: 
2) l^2 +w^2 = 13^2 = 169
:
Solve equation 1 for l and substitute for l in equation 2
:
l = 17-w
:
(17-w)^2 +w^2 = 169
:
289 -34w +w^2 +w^2 = 169
:
2w^2 -34w +120 = 0
:
divide both sides of = by 2
:
w^2 -17w +60 = 0
:
(w-12) * (w-5) = 0
:
w = 12, w = 5
:
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We have two solutions for the rectangle
:
1) length = 12 cm and width = 5 cm
:
2) length = 5 cm and width = 12 cm
:
Note usually the length is greater than the width for a rectangle
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