Question

Допоможіть будь ласка. Периметр прямокутника = 48 см, знайти площу прямокутника, якщо одна з його сторін у 3 рази більша більша за іншу

Answer 1

Ответ:

2*(х+3х)=8*х=48 или х=6 см длина меньшей стороны. Искомая площадб 6*3*6=36*3=108 см^2.

Answer 2

Ответ:

В прямоугольнике ABCD AB = DC = x, тогда BC = AD = 3x
составляем уравнение:
х + х + 3х + 3х = 48
8х = 48
х = 48/8
х = 6
АВ = DC = 6 см
ВС= АD = 6*3= 18 см
S прямоугольника = 6*18=108 см^2

Answer 3

Calculating the Area of a Rectangle with Given Perimeter and Side Lengths

To find the area of a rectangle when the perimeter and the relationship between its side lengths are given, we can use the following steps:

1. Identify the Perimeter and Side Lengths: - The given perimeter of the rectangle is 48 cm. - One side of the rectangle is 3 times larger than the other side.

2. Calculate the Side Lengths: - Let's assume the shorter side of the rectangle is x cm. - Then, the longer side would be 3x cm, based on the given relationship.

3. Use the Perimeter to Find the Lengths: - The perimeter of a rectangle is given by the formula: 2*(length + width) = Perimeter. - Substituting the given perimeter (48 cm) and the relationship between the side lengths, we can solve for the lengths of the sides.

4. Calculate the Area: - Once we have the lengths of the sides, we can use the formula for the area of a rectangle: Area = length * width.

Let's proceed with these steps to calculate the area of the rectangle.