math questions for class 12: 1. A trapezoid ABCD has side AB of 8 cm, side CD of 12 cm, height of the trapezoid of 6 cm, and parallel sides AB and CD of 10 cm. Calculate the area of the trapezoid! 2. Know the equation of the quadratic function f(x) = 3x^2 + 2x - 1. Determine the discriminant of the quadratic function and determine its roots. 3. A petrol seller sells petrol at IDR 10,000 per liter. If Ms. Ani wants to buy 30 liters of petrol, how much will the total cost be paid by Ms. Ani? 4. A circle has a radius of 14 cm. Calculate the circumference of the circle. 5. In a class there are 35 students, with a ratio of female students to male students is 5:7. How many boys are there in the class? 6. Determine the value of x that satisfies the following logarithmic equation: log2(x - 1) = 3 7. During a journey, the car travels at a constant speed of 60 km/hour. The distance from point A to point B is 240 km. How long does it take the car to reach point B? 8. A triangle ABC has side AB of 8 cm, side BC of 10 cm, and angle ACB of 30 degrees. Calculate the length of the AC side. PLEASE REPLY
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Step-by-step explanation:
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Answer:
Area of trapezium is the region covered by a trapezium in a two-dimensional plane. It is the space enclosed in 2D geometry and measured in square units. A trapezium is a 2D shape that falls under the category of quadrilaterals. Similar to other geometrical shapes, it also has its own properties and formulas based on area and perimeter. Hence, the area of the trapezium formula is explained in the article along with its derivation and examples to make you understand better.
Step-by-step explanation:
Area of a Trapezium Formula
Trapezium area can be calculated by using the below formula:
Area = (1/2) h (a+b)
where,
a and b are the length of parallel sides/bases of the trapezium
h is the height or distance between parallel sides.

From the figure, area of trapezium = 1/2 (AB + DC).h
Perimeter of Trapezium
The perimeter of trapezium formula is given by:
Perimeter = Sum of all the sides = AB + BC + CD + DA