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?
January 30, 2021 | education
| 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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