Question

В1. Найдите сумму площадей квадратов, построенных на сторонах прямоугольника со сторонами 4 см и 9 см Сделайте,пожалуйста,фотографию ,как решить это .

Answer 1

Равные квадраты отмечены одинаковыми цветами
Сумма площадей квадратов: S= S1+S2+S3+S4=2S1+2S2 , где S1 и S3 - площади красных квадратов, S2 и S4 - площади зеленых
S1 = b*b = b^2
S3 = a*a = a^2
S=2b^2 + 2a^2 = 2(b^2+a^2)=2*(16+81)=2*97=194

Answer 2

Calculating the Sum of Areas of Squares on the Sides of a Rectangle

To find the sum of the areas of the squares built on the sides of a rectangle with sides of 4 cm and 9 cm, you can use the following approach:

1. Calculate the Areas of the Squares: - The area of a square is given by the formula: area = side length * side length. - For the given rectangle with sides of 4 cm and 9 cm, you'll need to calculate the areas of the squares built on these sides.

2. Sum the Areas: - Once you have the areas of the squares, simply add them together to find the total sum of the areas.

Solution Steps

Here are the detailed steps to solve this problem:

1. Calculate the Area of the Square on the 4 cm Side: - Area = 4 cm * 4 cm = 16 cm²

2. Calculate the Area of the Square on the 9 cm Side: - Area = 9 cm * 9 cm = 81 cm²

3. Sum the Areas: - Total sum of the areas = 16 cm² + 81 cm² = 97 cm²

So, the sum of the areas of the squares built on the sides of the given rectangle is 97 cm².

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