SOLUTION: Problem Page The area of a rectangle is 28m^2 , and the length of the rectangle is 1m more than twice the width. Find the dimensions of the rectangle.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Problem Page The area of a rectangle is 28m^2 , and the length of the rectangle is 1m more than twice the width. Find the dimensions of the rectangle.      Log On


   

Question 1111983: Problem Page The area of a rectangle is 28m^2 , and the length of the rectangle is 1m more than twice the width. Find the dimensions of the rectangle.
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Dimensions x and 2x+1
Area 28

x%282x%2B1%29=28
2x%5E2%2Bx-28=0
x=%28-1%2Bsqrt%281%2B4%2A2%2A28%29%29%2F%282%2A2%29
x=%28-1%2Bsqrt%28225%29%29%2F4
x=%28-1%2B15%29%2F4
x=14%2F4
x=7%2F2
x=3%261%2F2-------Width.
Use this to evaluate length.