Question

Детская площадка имеет форму прямоугольника, площадь которого равна 108 м2. Одна его сторона на 3 метра больше, чем другая. Детской площадке необходимо построить бордюр. В магазине продаётся материал для бордюра в упаковках. В одной упаковке имеется 5 метров(-а) материала.1. Вычисли длину и ширину детской площадки.Меньшая сторона детской площадки (целое число) равна:м.Большая сторона детской площадки (целое число) равна:м.2. Вычисли, сколько упаковок материала для бордюра необходимо купить.Необходимое количество упаковок равно

Answer 1

1) 9*12 2)3

Объяснение:

1)одна сторона x вторая x+3. x*(x+3)=108; => x^2+3*x-108=0=> x1=-12 x2=9

2) P=9*2+12*2=18+24=42

n=42/20=2.1 2 мало тому 3

Answer 2

Calculation of the Length and Width of the Playground

To find the length and width of the rectangular playground, we can set up the following equation based on the given information:

Let x be the length of the shorter side of the playground. Then, the length of the longer side of the playground would be x + 3.

The area of a rectangle is given by the formula: Area = length * width.

Given that the area of the playground is 108 m², we can set up the equation:

x * (x + 3) = 108

Simplifying the equation, we get:

x² + 3x - 108 = 0

To solve this quadratic equation, we can factorize it or use the quadratic formula.

Factoring the equation, we get:

(x - 9)(x + 12) = 0

This gives us two possible solutions: x = 9 or x = -12.

Since the length cannot be negative, we discard x = -12.

Therefore, the length of the shorter side of the playground is 9 meters, and the length of the longer side is 9 + 3 = 12 meters.

The length of the playground is 12 meters, and the width is 9 meters.

Calculation of the Number of Border Material Packages Required

The material for the border is sold in packages, with each package containing 5 meters of material.

To calculate the number of packages required, we need to find the perimeter of the playground, as the border will be placed around the perimeter.

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

For the given playground, the perimeter would be:

Perimeter = 2 * (12 + 9) = 2 * 21 = 42 meters.

To find the number of packages required, we divide the perimeter by the length of material in each package:

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

Number of packages = 42 / 5 = 8.4.

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

Therefore, 9 packages of border material would be required to cover the entire perimeter of the playground.