The length of the rectangle is 24 cm. How much the area of this rectangle will increase if its width is increased by 4 cm.

1) Let’s take the width of the first rectangle as x;

2) The width of the second enlarged rectangle will be x + 4;

3) The area of the first rectangle S1 = 24 x;

4) The area of the second enlarged rectangle S2 = 24 (x + 4);

5) The difference in areas will be equal to 24 (x + 4) – 24 x = 24 x + 96 – 24 x = 96 cm ^ 2;

Total: The area of the rectangle will increase by 96 cm ^ 2.