SOLUTION: The area of a rectangle is three times the area of a square of side (x+1)cm. The length and breadth of the rectangle are (2x+5)cm and (2x-1)cm respectively. a) Form an equation

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The area of a rectangle is three times the area of a square of side (x+1)cm. The length and breadth of the rectangle are (2x+5)cm and (2x-1)cm respectively. a) Form an equation      Log On


   

Question 1074298: The area of a rectangle is three times the area of a square of side (x+1)cm. The length and breadth of the rectangle are (2x+5)cm and (2x-1)cm respectively.
a) Form an equation in x and show that it reduces to x^2+2x-8=0
b) Solve the equation and find the area of the rectangle.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
3%28x%2B1%29%5E2=%282x%2B5%29%282x-1%29

You will want to simplify that equation.

3%28x%5E2%2B2x%2B1%29=4x%5E2-2x%2B10x-5

3x%5E2%2B6x%2B3=4x%5E2%2B8x-5

6x%2B3=x%5E2%2B8x-5
x%5E2%2B2x-8=0
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