Question

Площа трапеции доривнюе 100 см/квадратных высота-9 см а одна з його основ - 4см.Знайдить другу основу трапеции

Answer 1

Да тропеция 18 см........

Answer 2

S=100
h=9
меньшее основание=4
большее основание=?
(((2х+4)+4)*9)/2=100
9x+36=100
9x=64
x=7 (маленькие боковушки из большого основания)
7+7+4=18см(большее основание)

Answer 3

Calculation of the Second Base of a Trapezoid

To find the second base of a trapezoid, we can use the formula for the area of a trapezoid, which is given by the formula:

Area = (1/2) * (sum of the lengths of the bases) * (height)

Given: - Area = 100 cm^2 - Height = 9 cm - One base = 4 cm

We can use the given information to find the second base of the trapezoid.

Solution

Using the formula for the area of a trapezoid, we can rearrange the formula to solve for the second base:

Area = (1/2) * (sum of the lengths of the bases) * (height)

We know the area is 100 cm^2, the height is 9 cm, and one base is 4 cm. Let's solve for the second base.

100 = (1/2) * (4 + x) * 9

Where x represents the second base.

First, we can simplify the equation: 100 = (1/2) * (4 + x) * 9 200 = (4 + x) * 9 200 = 36 + 9x

Then, we solve for x: 9x = 200 - 36 9x = 164 x = 164 / 9 x ≈ 18.22

So, the second base of the trapezoid is approximately 18.22 cm.

Conclusion

The second base of the trapezoid is approximately 18.22 cm.