Question

Найдите стороны трапеции,если они относятся как 4:6:9:10, а периметр равен 87 см

Answer 1

4+6+9+10=29 частей
87:29=3 см на 1 часть
1 сторона =4×3=12 см
2 =6×3=18 см
3 =9×3=27
4 =10×3=30

Answer 2

4х+6х+9х+10х=87
29х=87
х= 3
2) 4*3=12 см
3) 6*3= 18 см
4) 9*3= 27 см
5) 10*3= 30 см
Ответ. 12 см; 18 см; 27 см; 30 см

Answer 3

Calculating the Sides of a Trapezoid

To find the sides of a trapezoid when the ratios of the sides are given as 4:6:9:10 and the perimeter is 87 cm, we can use the following steps:

1. Understand the Problem: - We are given the ratios of the sides of a trapezoid and the perimeter of the trapezoid. - We need to find the actual lengths of the sides.

2. Set Up the Equation: - Let's assume the sides of the trapezoid are 4x, 6x, 9x, and 10x, where x is a common multiplier. - The perimeter of a trapezoid is the sum of all its sides: 4x + 6x + 9x + 10x = 87.

3. Solve for x: - Add the terms: 29x = 87. - Divide by 29: x = 3.

4. Calculate the Sides: - Now that we have the value of x, we can find the lengths of the sides: - Shorter parallel side = 4x = 4 * 3 = 12 cm - Longer parallel side = 10x = 10 * 3 = 30 cm - Non-parallel sides = 6x = 6 * 3 = 18 cm and 9x = 9 * 3 = 27 cm.

Therefore, the sides of the trapezoid are: - Shorter parallel side: 12 cm - Longer parallel side: 30 cm - Non-parallel sides: 18 cm and 27 cm.

This calculation is based on the given ratios and the perimeter of the trapezoid.