SOLUTION: The combined area of a square and a rectangle is 116 square centimeters. The width of the rectangle is 2 centimeters more than the length of a side of the square, and the length of
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Question 504433: The combined area of a square and a rectangle is 116 square centimeters. The width of the rectangle is 2 centimeters more than the length of a side of the square, and the length of the rectangle is 2 centimeters more than its width.Find the dimensions of the square and the rectangle? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! The combined area of a square and a rectangle is 116 square centimeters.
The width of the rectangle is 2 centimeters more than the length of a side of the square, and the length of the rectangle is 2 centimeters more than its width.
Find the dimensions of the square and the rectangle?
:
x = the side of the square and the width of the rectangle
:
Adding the two areas
x^2 + x(x+2) = 116
x^2 + x^2 + 2x = 116
A quadratic equation
2x^2 + 2x - 116 = 0
Solve this using the quadratic formula: a=2; b=2; c=-116
