Question

Разность оснований трапеции составляет 6м, высота равна 22м, площадь-594. найдите основания трапеции

Answer 1

По формуле площади трапеции S=(a+b)/2*h, где а и b - основания, h - высота. Составим уравнение:
(a+b)/2*22=594
(a+b)/2=27
a+b=54
В то же время a-b=6
Сложим уравнения:
2а=60
а=30 (м)
b=30-6=24 м

Answer 2

Finding the Bases of a Trapezoid

To find the bases of a trapezoid, we need to use the given information about the difference in bases and the height of the trapezoid.

Given: - Difference in bases: 6m - Height: 22m - Area: 594

To find the bases, we can use the formula for the area of a trapezoid:

Area = (Sum of bases) * Height / 2

Let's denote the lengths of the bases as b1 and b2.

From the given information, we have the following equations:

b2 - b1 = 6 (Difference in bases) 594 = (b1 + b2) * 22 / 2 (Area formula)

To solve these equations, we can use substitution or elimination. Let's use substitution:

From the first equation, we can express b2 in terms of b1:

b2 = b1 + 6

Substituting this into the second equation:

594 = (b1 + (b1 + 6)) * 22 / 2

Simplifying:

594 = (2b1 + 6) * 11

Expanding:

594 = 22b1 + 66

Rearranging:

22b1 = 594 - 66

22b1 = 528

b1 = 528 / 22

b1 = 24

Substituting this value back into the first equation:

b2 = 24 + 6

b2 = 30

Therefore, the bases of the trapezoid are 24m and 30m.

Please note that the given information about the area and the difference in bases may not be consistent with the solution obtained. It is important to double-check the given information and calculations to ensure accuracy.