Question

длина прямоугольника 35 см а ширина 20 см построили новый прямоугольник длина которого на 5 см больше а ширина на 5 см меньше равна ли площадь нового прямоугольника площади данного прямоугольника если нет то насколько когда-то Квадратных на метров площадь нового прямоугольника больше или меньше площади данного?

Answer 1

Problem Analysis

We are given the length and width of a rectangle, and we need to determine if the area of a new rectangle, which has a length 5 cm greater and a width 5 cm smaller, is equal to the area of the given rectangle. If not, we need to find the difference in square meters between the areas of the two rectangles.

Solution

Let's start by calculating the area of the given rectangle and the area of the new rectangle.

The area of a rectangle is calculated by multiplying its length by its width. Given that the length of the rectangle is 35 cm and the width is 20 cm, the area of the given rectangle is:

Area of given rectangle = length * width = 35 cm * 20 cm = 700 cm².

Now, let's calculate the dimensions and area of the new rectangle. The length of the new rectangle is 5 cm greater than the given rectangle, and the width is 5 cm smaller. Therefore, the length of the new rectangle is 35 cm + 5 cm = 40 cm, and the width is 20 cm - 5 cm = 15 cm.

Area of new rectangle = length * width = 40 cm * 15 cm = 600 cm².

Answer

The area of the new rectangle is not equal to the area of the given rectangle. The area of the new rectangle is 600 cm², which is 100 cm² less than the area of the given rectangle.

To convert the area from square centimeters to square meters, we need to divide the area by 10,000 (since there are 10,000 square centimeters in a square meter).

Difference in square meters = (Area of given rectangle - Area of new rectangle) / 10,000 = (700 cm² - 600 cm²) / 10,000 = 0.01 square meters.

Therefore, the area of the new rectangle is 0.01 square meters less than the area of the given rectangle.

Please let me know if I can help you with anything else.