SOLUTION: If the opposite sides of a square are increased by 12 inches and the other two sides are decreased by 4 inches, a rectangle is formed having the same area. What are the dimensions

Question 437852: If the opposite sides of a square are increased by 12 inches and the other two sides are decreased by 4 inches, a rectangle is formed having the same area. What are the dimensions of each polygon?
Answer by Gogonati(855) (Show Source): You can put this solution on YOUR website!
Let x inches the side of square. If we increase the side by 12 it becomes: x+12
If we decrease the side by 4 it becomes: x-4 inches.
The area of square was:. The area of rectangle will be:
Since the rectangle and square have the same area, we write the equation:
, solve this equation: => =>
.
Answer:The side of square is 6 inches while the dimensions of rectangle are:
The length: 6+12=18 inches and the width: 6-4=2 inches.
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