Question

Периметр прямоугольника 56 см. найдите длины его сторон и площадь, если основание в 1.8 раза больше высоты.

Answer 1

Пусть высота=х
основание =1,8х
P=2(a+b)=2(x+1,8x)=56
2*2,8x=56
2,8x=56/2
2,8x=28
x=28/2,8=10 (см)

Answer 2

Calculation of Rectangle's Side Lengths and Area

To find the lengths of the sides and the area of a rectangle, given that the perimeter is 56 cm and the base is 1.8 times the height, we can use the following steps:

1. Let's assume the height of the rectangle is h. 2. According to the given information, the base of the rectangle is 1.8 times the height, so the base can be expressed as 1.8h. 3. The perimeter of a rectangle is calculated by adding the lengths of all its sides. In this case, the perimeter is given as 56 cm, so we can set up the equation: Perimeter = 2(length + width) Substituting the values, we get: 56 = 2(1.8h + h) 4. Simplifying the equation, we have: 56 = 2(2.8h) 56 = 5.6h 5. Dividing both sides of the equation by 5.6, we find: h = 10 cm 6. Now that we know the height, we can calculate the base: Base = 1.8h = 1.8 * 10 = 18 cm 7. The lengths of the sides of the rectangle are: Height = 10 cm Base = 18 cm 8. Finally, we can calculate the area of the rectangle using the formula: Area = length * width Substituting the values, we get: Area = 10 cm * 18 cm = 180 cm²

Therefore, the lengths of the sides of the rectangle are 10 cm and 18 cm, and the area is 180 cm².

Please note that the calculations are based on the assumption that the given information is accurate and the rectangle is a standard rectangle with four right angles.

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