SOLUTION: The perimeter of a rectangle is 46 inches, and the area is 126 square inches. Find the length and width of the rectangle.

Algebra ->  Rectangles -> SOLUTION: The perimeter of a rectangle is 46 inches, and the area is 126 square inches. Find the length and width of the rectangle.      Log On


   

Question 881905: The perimeter of a rectangle is 46 inches, and the area is 126 square inches. Find the length and width of the rectangle.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
2x+2y=46 and xy=126.
Simplify the perimeter because the constant and the coefficients are even and therefore divisible by 2. You will then substitute to form a quadratic equation in one of the variables and solve it; and use this to find the other variable.