SOLUTION: I am having a problem with this word problem, I am not good at them and need some help. Geometry: The length of a rectangle is 1 cm longer than its width. If the diagonial of th

Question 91977: I am having a problem with this word problem, I am not good at them and need some help.
Geometry: The length of a rectangle is 1 cm longer than its width. If the diagonial of the rectangle is 4cm what are the dimensions of the rectangle?
Thanks a million
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
let w=width, so w+1=length ... the length, width, and diagonal form a right triangle with the diagonal as the hypotenuse

by Pythagoras, w^2+(w+1)^2=4^2 ... 2w^2+2w+1=16 ... 2w^2+2w-15=0 ...

so w=2.28 and w=-3.28 ... the negative value is not realistic ... length=3.28
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