SOLUTION: The area of a rectangle increased by 7 is the same as 4 less than twice the area of the rectangle. Write and solve an equation to determine the area of the rectangle.

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Question 810224: The area of a rectangle increased by 7 is the same as 4 less than twice the area of the rectangle. Write and solve an equation to determine the area of the rectangle.
Answer by DrBeeee(684) About Me  (Show Source):
You can put this solution on YOUR website!
Let l = the length of the rectangle
Let w = the width of the rectangle
The area of a rectangle is given by
(1) A = l*w
The problem statement is given by
(2) A + 7 = 2*A - 4 or
(3) A - 2*A = -4 - 7 or
(4) -A = -11 or
(5) A = 11
Answer: the area of the rectangle is 11 square units.
PS l and w do not enter into the solution of the problem.