Question

Периметр прямоугольника 40 см а его этого ширина в 3 раза короче длины найдите площадь наяертите в тетради

Answer 1

У нас х получается как -ширина прямоугольника .

а 3х -будет как длина прямоугольника 


составим уравнения:(х+3х)*2=40

8Х=40.

Х=40:8

Х=5 см =ширина (ПРЯМОУГОЛЬНИКА)

3х получается =3*5=15(см)-(ДЛИНА.ПРЯМОУГОЛЬНИКА)

Значит..:Площадь прямоугольника равна :15*5=75см²

Ответ:S=75 см²

Answer 2

Perimeter of a Rectangle

To find the perimeter of a rectangle, we need to know the length and width of the rectangle. In this case, we are given that the perimeter of the rectangle is 40 cm and that the width is 3 times shorter than the length.

Let's denote the length of the rectangle as L and the width as W.

We can set up the following equations based on the given information:

1. The perimeter of a rectangle is given by the formula: P = 2(L + W). 2. The width is 3 times shorter than the length: W = (1/3)L.

To find the values of L and W, we can substitute the second equation into the first equation:

40 = 2(L + (1/3)L).

Simplifying the equation:

40 = 2(4/3)L.

Dividing both sides by 2:

20 = (4/3)L.

Multiplying both sides by (3/4):

L = (20 * 3)/4 = 15 cm.

Substituting the value of L back into the equation for W:

W = (1/3)(15) = 5 cm.

Therefore, the length of the rectangle is 15 cm and the width is 5 cm.

Area of a Rectangle

To find the area of a rectangle, we multiply the length by the width. In this case, the length is 15 cm and the width is 5 cm.

Therefore, the area of the rectangle is:

A = L * W = 15 cm * 5 cm = 75 cm^2.

So, the area of the rectangle is 75 cm^2.

I hope this helps! Let me know if you have any further questions.