Question

А)периметр прямоугольника 1024см. Высота его меньше основания в 3 раза. найти площадь прямоугольника?(должно получиться 49152см.кв) в)если в каждую коробку положить по 55 пачек печенья то не хватит 30 пачек а если в каждую коробку положить по 42 пачки то останиться 48 пачек печенья.сколько было коробок ? сколько было пачек?

Answer 1

А) Пусть высота х , тогда ширина 3х 
(х+3х)*2 =1024
8х = 1024
х = 1024 : 8
х = 129см - высота
129 * 3 = 387 см - ширина 
S = a*b 
S = 129 * 387 = 49,923см(в квадрате) = 4,923 м (в квадрате )

Answer 2

Problem A: Finding the Area of a Rectangle

To find the area of a rectangle, we need to know the length and width of the rectangle. In this case, we are given the perimeter and the relationship between the height and the base of the rectangle.

Let's break down the problem and solve it step by step.

Given: - Perimeter of the rectangle = 1024 cm - Height is 3 times smaller than the base

To find the area of the rectangle, we need to find the length and width of the rectangle.

Let's assume the base of the rectangle is x cm. Since the height is 3 times smaller than the base, the height would be x/3 cm.

The perimeter of a rectangle is given by the formula: perimeter = 2 * (length + width).

In this case, the perimeter is given as 1024 cm. So we can write the equation as:

1024 = 2 * (x + x/3)

Simplifying the equation:

1024 = 2 * (4x/3)

Now, let's solve for x:

1024 = (8x/3)

Multiplying both sides of the equation by 3/8:

1024 * (3/8) = x

384 = x

So, the base of the rectangle is 384 cm and the height is 384/3 = 128 cm.

To find the area of the rectangle, we use the formula: Area = length * width.

In this case, the length is the base and the width is the height.

Area = 384 * 128 = 49152 cm^2

Therefore, the area of the rectangle is 49152 cm^2.

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