Question

Периметр прямоугольника 23 см длина больше ширины в 4 раза.найдите длину и ширину прямоугольника?

Answer 1

Пусть ширина прямоугольника Х см, тогда длина 4Х
Х + Х+ 4Х+4Х = 23
10х =23
Х=23:10
Х=2,3 (см)-ширина
4*2,3=9,2 (см) -длина

Answer 2

Х-ширина
2(х+4х)=23
2х+8х=23
10х=23
х=2,3-ширина
2,3*4=9,2-длина

Answer 3

Calculation of Length and Width of a Rectangle

To find the length and width of a rectangle given that the perimeter is 23 cm and the length is 4 times greater than the width, we can use the formula for the perimeter of a rectangle:

Perimeter = 2 * (Length + Width).

Let's denote the width of the rectangle as w. According to the given information, the length is 4 times greater than the width, so the length can be expressed as 4w.

Substituting these values into the perimeter formula, we get:

23 = 2 * (4w + w).

Simplifying the equation:

23 = 2 * 5w.

Dividing both sides of the equation by 2:

11.5 = 5w.

Finally, solving for w:

w = 11.5 / 5 = 2.3 cm.

Therefore, the width of the rectangle is 2.3 cm.

To find the length, we can substitute the value of w into the expression for the length:

Length = 4w = 4 * 2.3 = 9.2 cm.

Therefore, the length of the rectangle is 9.2 cm.

So, the width of the rectangle is 2.3 cm and the length is 9.2 cm.