Question

353. Длина прямоугольника на 2/9 сантиметра больше ширины, а удвоенная ширина на 3 сантиметра меньше периметра прямоугольника . Чему равна площадь прямоугольника? ответ должен получиться 23/12​

Answer 1

Ответ:

х - ширина прямоугольника, см.

Длина прямоугольника: (2/9 +x) cm.

2x+3=2(2/9 +x+x)

2x+3=4/9 +36/9 -x

18x+27=4+36x

36x-18x=27-4

18x=23

x=23/18=1 5/18 - ширина прямоугольника,см.

2/9 +15/18-4/18 +1 5/18=1 9/18-1 1/2-1,5 cm - длина прямоугольника.

Площадь прямоугольника: S=1 5/18 -1 1/2=23/18 ·3/2=23/12=1 11/12 CM²

Пошаговое объяснение:

надеюсь что помогла:)

Answer 2

Problem Analysis

We are given that the length of a rectangle is 2/9 centimeters greater than its width, and that the doubled width is 3 centimeters less than the perimeter of the rectangle. We need to find the area of the rectangle.

Solution

Let's assume that the width of the rectangle is w centimeters. According to the given information, the length of the rectangle is w + 2/9 centimeters.

We are also given that the doubled width is 3 centimeters less than the perimeter of the rectangle. The perimeter of a rectangle is calculated by adding the lengths of all its sides. In this case, the perimeter is given by:

2(w + (w + 2/9)) = 2(2w + 2/9) = 4w + 4/9

According to the problem, the doubled width is 3 centimeters less than the perimeter, so we have:

2w = (4w + 4/9) - 3

Simplifying the equation, we get:

2w = 4w + 4/9 - 3

2w - 4w = 4/9 - 3

-2w = 4/9 - 27/9

-2w = -23/9

Dividing both sides of the equation by -2, we find:

w = (-23/9) / -2

w = 23/18

Now that we have the value of the width, we can calculate the length of the rectangle:

length = w + 2/9 = 23/18 + 2/9 = 23/18 + 4/18 = 27/18 = 3/2

The area of a rectangle is given by the product of its length and width. Therefore, the area of this rectangle is:

area = width * length = (23/18) * (3/2) = 69/36 = 23/12

So, the area of the rectangle is 23/12 square centimeters.

Answer

The area of the rectangle is 23/12 square centimeters.