Question

Длину прямоугольника увеличили на 60%,а ширину уменьшили на 30%.На сколько процентов увеличилась площадь прямоугольника? ПО ДЕЙСТВИЯ.ЗАРАНЕЕ СПАСИБО!

Answer 1

Авияави ЫВакиРаыпМвмс явтпси вяатоеачрчаряарапр

Answer 2

Calculating the Increase in Rectangle's Area

To calculate the increase in the rectangle's area after the length is increased by 60% and the width is decreased by 30%, we can use the following approach:

1. Calculate the Initial Area of the Rectangle: - Let's assume the initial length of the rectangle is L and the initial width is W. - The initial area, A_initial, is given by A_initial = L * W.

2. Calculate the New Length and Width: - After increasing the length by 60% and decreasing the width by 30%, the new length, L_new, is L + 0.6L = 1.6L, and the new width, W_new, is W - 0.3W = 0.7W.

3. Calculate the New Area of the Rectangle: - The new area, A_new, is given by A_new = L_new * W_new.

4. Calculate the Percentage Increase in Area: - The percentage increase in area can be calculated using the formula: Percentage Increase = ((A_new - A_initial) / A_initial) * 100%.

Let's perform these calculations step by step.

Calculation Steps

1. Initial Area of the Rectangle: - Let's assume the initial length, L, is 10 units, and the initial width, W, is 5 units. - Therefore, the initial area, A_initial, is 10 * 5 = 50 square units.

2. New Length and Width: - After increasing the length by 60% and decreasing the width by 30%: - New length, L_new = 1.6 * 10 = 16 units. - New width, W_new = 0.7 * 5 = 3.5 units.

3. New Area of the Rectangle: - The new area, A_new, is given by 16 * 3.5 = 56 square units.

4. Percentage Increase in Area: - Using the formula: - Percentage Increase = ((56 - 50) / 50) * 100% = (6 / 50) * 100% = 12%.

Conclusion

After increasing the length of the rectangle by 60% and decreasing the width by 30%, the area of the rectangle increased by 12%.

I hope this helps! If you have further questions or need additional assistance, feel free to ask.