Question

Площадь комнаты равна 28м². найдите длину и ширину комнаты, если ширина на 3м меньше длины

Answer 1

ответ: длина-7м

ширина-4м

объяснение: 7×4=28

Answer 2

Пусть х - ширина, тогда площадь комнаты равна х(х+3), сто по усл. задачи равно 28
х(х+3)=28
х²+3х-28=0
D = 9 + 4 •28 = 121
х1 = (-3-11)/2. х1= -7 - не удовл. усл. задачи
х2 = (-3+11)/2. х2 = 4
Ответ:4

Answer 3

Calculating the Length and Width of the Room

To find the length and width of the room, we can use the given information that the area of the room is 28m² and the width is 3m less than the length.

Let's denote: - Length of the room as L - Width of the room as W

We know that the area of a rectangle is given by the formula: Area = Length × Width

Given that the area of the room is 28m², we have the equation: L × W = 28

We also know that the width is 3m less than the length, so we can express the width in terms of the length: W = L - 3

Substituting the expression for W into the area equation, we get: L × (L - 3) = 28

Expanding and rearranging the equation gives us a quadratic equation: L² - 3L - 28 = 0

We can solve this quadratic equation to find the values of L and W.

Solving the Quadratic Equation

Using the quadratic formula: L = (-b ± √(b² - 4ac)) / (2a)

Where: - a = 1 - b = -3 - c = -28

Plugging these values into the quadratic formula, we get: L = (3 ± √(3² - 4*1*(-28))) / (2*1)

Solving for L gives us two possible values for the length of the room. We can then use the relationship W = L - 3 to find the corresponding widths.

Let's calculate the values of L and W using the quadratic formula.