SOLUTION: The length of a rectangular poster is one foot more than the width and the diagonal of the poster is 5 feet. What are the length and width?

Question 544919: The length of a rectangular poster is one foot more than the width and the diagonal of the poster is 5 feet. What are the length and width?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Let the legs be x & x+1
The diagonal & sides form a right triangle
By Pythagoras theorem
Hypotenuse^2 = Leg1^2+leg2^2
5^2=x^2+(x+1)^2
25=x^2+x^2+2x+1
2x^2+2x-34=0
/2
x^2+x-12=0
x^2+4x-3x+12=0
x(x+4)-3(x+4)=0
(x+4)(x-3)=0
x= 3 the positive value
the other leg is 3+1= 4
The sides are 3,4,5

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