The length of the rectangle was increased by 0.25 of its length, and the width was decreased by 0.2 of its width.

The length of the rectangle was increased by 0.25 of its length, and the width was decreased by 0.2 of its width. The area of the rectangle has increased or decreased.

Let us have a rectangle with sides: length – a and width – b. The area of the rectangle is: S = a * b. If the length of the rectangle is increased by 0.25, then we get the value of the length: a1 = a + 0.25a = 1.25a. If the width of the rectangle is reduced by 0.2, then we get the value of the width: B1 = B – 0.2B = 0.8B. The area of the new rectangle is: S1 = a1 * b1 = 1.25 * a * 0.8 * b = 1 * a * b = a * b. It follows from this that if the length of the rectangle is increased by 0.25 and the width is reduced by 0.2, then its area will not change.