Question

Решите задачу, составив уравнение. Периметр прямоугольника равен 68 см, а его длина на 6 см больше ширины. Найдите площадь прямоугольника. помогите пожалуйста​

Answer 1

Ответ:

х-ширина тогда длина-(6+х)

уравнение:

2(х+6+х)=68

2х+12+2х=68

2х+2х=68-12

4х=56

х=14

Так, если х ширина а х єто 14 значит ширина-14см, тогда длина 6+14=20.

Ну теперь площа ее формула S=ab

a-ширина

б-длина

подставляем

S=14•20=280см

Ответ: площа прямоугольника 280см

Answer 2

Solving for the Area of a Rectangle

To solve for the area of the rectangle, we first need to find the length and width of the rectangle using the given information.

Given: - Perimeter of the rectangle = 68 cm - Length of the rectangle = 6 cm more than its width

Let's denote: - Width of the rectangle as w (in cm) - Length of the rectangle as l (in cm)

Finding the Length and Width of the Rectangle

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

We are given that the perimeter is 68 cm, and the length is 6 cm more than the width. We can use this information to form an equation to solve for the length and width.

The equation for the perimeter can be expressed as: 68 = 2 * (l + w)

And we also know that: l = w + 6

Solving the Equations

We can substitute the value of l from the second equation into the first equation and solve for w.

68 = 2 * ((w + 6) + w)

Solving for w: 68 = 2 * (2w + 6) 68 = 4w + 12 4w = 68 - 12 4w = 56 w = 56 / 4 w = 14

Now that we have found the value of w, we can find the value of l using the equation l = w + 6: l = 14 + 6 l = 20

Calculating the Area of the Rectangle

Now that we have found the width (w) and length (l) of the rectangle, we can calculate the area using the formula: Area = length * width

Substituting the values: Area = 20 * 14 Area = 280

Answer

The area of the rectangle is 280 square centimeters.