Question

Детская площадка имеет форму прямоугольника, площадь которого равна 156м2. Одна его сторона на 1 метров(-а) больше, чем другая. Детской площадке необходимо построить бордюр. В магазине продается материал для бордюра в упаковках. В одной упаковке имеется 8 метров(-а) материала. 1. Вычисли длину и ширину детской площадки. 2. Вычисли, сколько упаковок материала для бордюра необходимо купить.

Answer 1

Пусть х;-другая сторона, а (х+1);-2 сторона
S=156м²
x(x+1)=156
x²+x-156=0
D=1-4*(-156)=1+624=625
x= -1+25/2=24/2=12 12см-ширина
x= -1-25/2= -26/2= -13(искл, т.к длина>0)
12+1=13см-длина
13×12м-размеры
Р=2(13+12)=2*25=50м
как минимум 7 упаковок

Answer 2

Ну, тут можно просто подобрать. Получаются стороны 12 и 13 (12*13=156)
Считаем периметр:  12*2+13*2=50
50:8=6,....Так как покупать нужно только целые упаковки, получается нужно 7 упаковок.

Answer 3

Calculation of the Length and Width of the Playground

To calculate the length and width of the playground, we can set up an equation based on the given information. Let's assume that one side of the rectangle is x meters. According to the problem, the other side is 1 meter longer than this side.

So, the equation becomes:

x * (x + 1) = 156

Simplifying the equation, we get:

x^2 + x = 156

Now, we can solve this quadratic equation to find the values of x.

Using the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions for x are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In our case, a = 1, b = 1, and c = -156.

Plugging in these values, we get:

x = (-1 ± √(1^2 - 4(1)(-156))) / (2(1))

Simplifying further:

x = (-1 ± √(1 + 624)) / 2

x = (-1 ± √625) / 2

x = (-1 ± 25) / 2

So, we have two possible solutions for x:

x1 = (-1 + 25) / 2 = 12 x2 = (-1 - 25) / 2 = -13

Since the length cannot be negative, we discard the negative solution.

Therefore, the length of the playground is 12 meters.

To find the width, we can use the fact that one side is 1 meter longer than the other. So, the width would be x + 1.

Therefore, the width of the playground is 12 + 1 = 13 meters.

Calculation of the Number of Border Material Packages Required

Now, let's calculate the number of border material packages required to build the border for the playground.

The perimeter of a rectangle is given by the formula:

Perimeter = 2 * (Length + Width)

In this case, the length is 12 meters and the width is 13 meters.

Plugging in these values, we get:

Perimeter = 2 * (12 + 13) = 2 * 25 = 50 meters

Since each package contains 8 meters of material, we can calculate the number of packages required by dividing the perimeter by the length of material in each package:

Number of packages = Perimeter / Length of material in each package

Number of packages = 50 / 8 = 6.25

Since we cannot have a fraction of a package, we need to round up to the nearest whole number.

Therefore, we need to buy 7 packages of border material to build the border for the playground.

Please note that these calculations are based on the information provided in the problem.