# How will the area of a rectangle change if one side of it is increased by 2 times, and the other is reduced by 4?

1. Let’s denote the width of a given geometric figure by the index “a” and its length by the index “b”.

2. The area (S) of the original rectangle is calculated by the formula:

S = ab.

3. Suppose that the width of the original geometric figure is doubled. Then she

became equal to 2a.

4. The length of the original geometric figure was reduced by 4 times. She became equal to / 4.

5. The area of ​​the rectangle with the changed parameters is calculated by the formula:

S = 2a x b / 4 = ab / 2.

6. Comparing both areas, we come to the conclusion that the area of ​​the rectangle with the changed

parameters are 2 times less than the area of ​​the original rectangle.

Answer: the area of ​​the original rectangle will be reduced by 2 times.

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