Question 1045179: The area of a rectangle is 54cm2. The side lengths are 2x+1 and x+2. What is the measure of each side? Answer by Bethm(3) (Show Source):
You can put this solution on YOUR website! Area of rectangle is base x height, so
(2x+1)(x+2) = 54 (area given in question)
Expand brackets and make equal to zero
2x^2+5x+2=54
2x^2+5x-52=0
And now factorise and solve
(2x+13)(x-4)=0
so x=-13/2 or 4...... cannot be -13/2 because it would lead to a negative side length so x=4.
Sub back into lengths above
2x+1 when x=4 is 9
x+2 when x=4 is 6.
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