The area of the rectangle will increase or decrease if the width of the rectangle is increased by 40%
| March 2, 2021 | education
The area of the rectangle will increase or decrease if the width of the rectangle is increased by 40%, and the length is decreased by 20%.
Let us have a rectangle with sides: length – in and width – a. The area of the rectangle is: S = a * b.
If the width of the rectangle is increased by 40%, then we get the value of the length: a1 = a + 0.4a = 1.4a.
If the length of the rectangle is reduced by 20%, then we get the value of the width: B1 = B – 0.2B = 0.8B.
The area of the new rectangle is: S1 = a1 * b1 = 1.4 * a * 0.8 * b = 1.12 * a * b.
It follows from this that if the width of the rectangle is increased by 40% and the length is reduced by 20%, then its area will increase by 12%.
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