Question

4. Площадь трапеции равна 24 см², а её высота — 4 см. Найдите основания трапеции, если их разность равна 8 см. СРОЧНО ​

Answer 1

Ответ:

Узнаём среднюю линию трапеции

24:4=6 см

Сумма оснований трапеции

6•2=12 см

Меньшее основание

(12-8):2=2 см

БОльшее основание

2+8=10 см

Объяснение:

Answer 2

Calculating the Bases of a Trapezoid

To find the bases of a trapezoid when the area is 24 cm² and the height is 4 cm, and the difference between the bases is 8 cm, we can use the formula for the area of a trapezoid:

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

We also know that the difference between the bases is 8 cm, so we can express one base in terms of the other base plus the difference:

Let's assume: - The smaller base = x cm - The larger base = x + 8 cm

Now, we can use the given area and height to solve for the bases.

Calculations

Using the formula for the area of a trapezoid, we have: 24 = (1/2) * (x + (x + 8)) * 4

Solving for x: 24 = (1/2) * (2x + 8) * 4 24 = (x + 4) * 4 24 = 4x + 16 4x = 24 - 16 4x = 8 x = 2

So, the smaller base is 2 cm and the larger base is 10 cm.

Therefore, the bases of the trapezoid are 2 cm and 10 cm.

This calculation is based on the formula for the area of a trapezoid and the given height and area.