Question

Из бумаги сделали рамку со сторонами 40 см и 35 см. Ширина самой рамки 5 см. Найди площадь рамки.С пояснением

Answer 1

Чтобы найти площадь рамки, нужно из площади прямоугольника вычесть площадь внутреннего прямоугольника со сторонами на 5 см меньше, т.е. 35 и 30
П=40*35-(35*30)=1400-1050=350
Ответ площадь рамки 350 см²

Answer 2

Calculation of the Area of the Frame

To find the area of the frame, we need to subtract the area of the inner rectangle (the picture) from the area of the outer rectangle (the frame).

Given: - Length of the frame = 40 cm - Width of the frame = 35 cm - Width of the inner rectangle (picture) = 5 cm

To calculate the area of the frame, we first calculate the area of the outer rectangle and then subtract the area of the inner rectangle.

Area of the outer rectangle: The length of the outer rectangle is 40 cm and the width is 35 cm. Therefore, the area of the outer rectangle is:

Area_outer = length * width = 40 cm * 35 cm = 1400 cm²

Area of the inner rectangle: The width of the inner rectangle (picture) is 5 cm less than the width of the frame. Therefore, the width of the inner rectangle is:

Width_inner = Width_frame - Width_picture = 35 cm - 5 cm = 30 cm

The length of the inner rectangle is the same as the length of the frame, which is 40 cm. Therefore, the area of the inner rectangle is:

Area_inner = length * width = 40 cm * 30 cm = 1200 cm²

Calculating the area of the frame: To find the area of the frame, we subtract the area of the inner rectangle from the area of the outer rectangle:

Area_frame = Area_outer - Area_inner = 1400 cm² - 1200 cm² = 200 cm²

Therefore, the area of the frame is 200 cm².