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Find area of trapezium with height 8 cm and the sum of its sides as 15 cm?
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Find area of trapezium with height 8 cm and the sum of its sides as 15...
How to find the area of a trapezium
A trapezium is a quadrilateral with one pair of parallel sides. To find its area, we need to know the length of its parallel sides and its height. The formula to find the area of a trapezium is:
Area = (sum of parallel sides × height) ÷ 2
Solving the problem
In this problem, we are given the height of the trapezium, which is 8 cm, and the sum of its sides, which is 15 cm. We can use this information to find the length of the parallel sides.
We know that the sum of the parallel sides is 15 cm. Let's call the length of the shorter parallel side "a" and the length of the longer parallel side "b". Then we can write:
a + b = 15
We don't know the individual values of "a" and "b", but we can use algebra to solve for one of them in terms of the other. Let's solve for "a":
a = 15 - b
Now we can substitute this expression for "a" into the formula for the area of a trapezium:
Area = ((a + b) × height) ÷ 2
Area = (((15 - b) + b) × 8) ÷ 2
Area = (15 × 8) ÷ 2
Area = 60 cm2
Conclusion
The area of the trapezium is 60 cm2.
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Find area of trapezium with height 8 cm and the sum of its sides as 15 cm?
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Find area of trapezium with height 8 cm and the sum of its sides as 15 cm? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Find area of trapezium with height 8 cm and the sum of its sides as 15 cm? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find area of trapezium with height 8 cm and the sum of its sides as 15 cm?.
Find area of trapezium with height 8 cm and the sum of its sides as 15 cm? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Find area of trapezium with height 8 cm and the sum of its sides as 15 cm? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find area of trapezium with height 8 cm and the sum of its sides as 15 cm?.
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