Question

Периметр прямоугольника равен 16 см. Его длина 5 см. Ширину прямоугольника увеличили в 2 раза и построили новый прямоугольник. На сколько сантиметров периметр нового прямоугольника больше периметра данного прямоугольника (характеристики "данного" прямоугольника говорились в начале)

Answer 1

.16-5-5=6 - длины двух других сторон.
6:2=3 - длина другой стороны
3*2=6 - длина новой стороны
6+6+5+5=22 - периметр нового прямоугольника
22-16=6 - на столько сантиметров периметр стал больше

Answer 2

Calculation of the Perimeter of the Given Rectangle

To find the perimeter of a rectangle, we need to add up the lengths of all its sides. In this case, the perimeter of the given rectangle is 16 cm, and its length is 5 cm.

Let's denote the width of the rectangle as w. Since the perimeter is the sum of all sides, we can write the equation:

2 * (length + width) = perimeter

Substituting the given values, we have:

2 * (5 + w) = 16

Simplifying the equation, we get:

10 + 2w = 16

2w = 16 - 10

2w = 6

w = 6 / 2

w = 3

Therefore, the width of the given rectangle is 3 cm.

Calculation of the Perimeter of the New Rectangle

According to the problem, the width of the rectangle was increased by 2 times. Therefore, the new width, denoted as w', is equal to 2 times the original width:

w' = 2 * w

Substituting the value of w from the previous calculation, we have:

w' = 2 * 3

w' = 6

So, the width of the new rectangle is 6 cm.

To calculate the perimeter of the new rectangle, we can use the same formula as before:

2 * (length + width') = perimeter'

Substituting the given values, we have:

2 * (5 + 6) = perimeter'

Simplifying the equation, we get:

2 * 11 = perimeter'

perimeter' = 22

Therefore, the perimeter of the new rectangle is 22 cm.

Calculation of the Difference in Perimeters

To find the difference in perimeters between the new rectangle and the given rectangle, we subtract the perimeter of the given rectangle from the perimeter of the new rectangle:

perimeter' - perimeter = difference in perimeters

Substituting the values, we have:

22 - 16 = difference in perimeters

difference in perimeters = 6

Therefore, the perimeter of the new rectangle is 6 cm larger than the perimeter of the given rectangle.

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