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.

Let the value of the width of the rectangle be x cm. Since the area of the rectangle is equal to the product of the length and width S = a * b, substituting the values of the sides 24 cm and x cm, we find the value of the area: S = 24 * x = 24x. If the width of the rectangle is increased by 4 cm, then the width will be equal to x + 4 cm.Let’s find the area of a rectangle with sides of 24 cm and x + 4 cm.The value of the area is S = 24 * (x + 4) = 24 * x + 24 * 4 = 24x + 98 cm.We find out how much the area of the rectangle will increase if its width is increased by 4 cm: 24x + 98 – 24x = 98 cm.
Answer: 98 cm.