Question

Периметр прямокутника 40см.його ширина в 3 рази менше від довжини.чому дорівнюж площа прямокутника?

Answer 1

Ответ:

Пошаговое объяснение:

40 : 2 = 20 ( см ) сумма длины и ширины  

20 : ( 3 + 1 ) = 5 ( см ) ширина  

5 * 3 = 15 ( см ) длина  

15 * 5 = 75 ( cм² ) площадь  

ОТВЕТ 75 см²

Answer 2

Perimeter of a Rectangle

To find the area of a rectangle, we first need to determine the length and width of the rectangle.

Let's assume the length of the rectangle is represented by 'L' and the width is represented by 'W'.

According to the given information, the perimeter of the rectangle is 40 cm. We can use this information to form an equation:

Perimeter = 2(L + W)

Substituting the given perimeter value, we have:

40 = 2(L + W)

Since the width is stated to be three times smaller than the length, we can express the width as:

W = (1/3)L

Now, we can substitute this value into the equation for the perimeter:

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

Simplifying the equation:

40 = 2(4/3)L

40 = (8/3)L

To find the value of L, we can multiply both sides of the equation by (3/8):

L = (3/8) * 40

L = 15

Therefore, the length of the rectangle is 15 cm.

Now, we can find the width by substituting the value of L into the equation for the width:

W = (1/3) * 15

W = 5

Therefore, the width of the rectangle is 5 cm.

Area of the Rectangle

To find the area of the rectangle, we use the formula:

Area = Length * Width

Substituting the values we found earlier:

Area = 15 * 5

Area = 75

Therefore, the area of the rectangle is 75 square centimeters.

Please let me know if there's anything else I can help you with!