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Find the area of trapezium whose parallel sides are 11 m and 25m long and the nonparallel sides are 15m and 13m long?
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Find the area of trapezium whose parallel sides are 11 m and 25m long ...
Draw DE BC || and DL perpendicular to AB.
The opposite sides of quadrilateral DEBC are parallel. Hence, DEBC is a parallelogram
DE = BC = 13 m
Also,
AE = (AB -EB) = (AB -DC) = (25-11) = 14 m
Area of trapezium = 1/2 x Sum of parallel sides x Distance between them
Area of trapezium = 1/2 x Sum of parallel sides x Distance between them
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Find the area of trapezium whose parallel sides are 11 m and 25m long ...
Calculating the Area of a Trapezium
To find the area of a trapezium, you can use the formula:
\[Area = \frac{1}{2} \times (a + b) \times h\]
where \(a\) and \(b\) are the lengths of the parallel sides and \(h\) is the height or the perpendicular distance between the parallel sides.
Given Parameters
- Length of parallel side \(a\) = 11m
- Length of parallel side \(b\) = 25m
- Length of non-parallel side 1 = 15m
- Length of non-parallel side 2 = 13m
Calculating the Height
To find the height, we can use the Pythagorean theorem since the height, the non-parallel side, and the difference of the parallel sides form a right-angled triangle.
\[ h^2 = 15^2 - (25-11)^2\]
\[ h^2 = 225 - 196\]
\[ h^2 = 29\]
\[ h = \sqrt{29} = 5.39m\]
Calculating the Area
Now we can substitute the values into the formula to find the area:
\[Area = \frac{1}{2} \times (11 + 25) \times 5.39\]
\[Area = \frac{1}{2} \times 36 \times 5.39\]
\[Area = 18 \times 5.39\]
\[Area ≈ 97.02m^2\]
Therefore, the area of the trapezium is approximately 97.02 square meters.
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Find the area of trapezium whose parallel sides are 11 m and 25m long and the nonparallel sides are 15m and 13m long?
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Find the area of trapezium whose parallel sides are 11 m and 25m long and the nonparallel sides are 15m and 13m long? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Find the area of trapezium whose parallel sides are 11 m and 25m long and the nonparallel sides are 15m and 13m long? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the area of trapezium whose parallel sides are 11 m and 25m long and the nonparallel sides are 15m and 13m long?.
Find the area of trapezium whose parallel sides are 11 m and 25m long and the nonparallel sides are 15m and 13m long? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Find the area of trapezium whose parallel sides are 11 m and 25m long and the nonparallel sides are 15m and 13m long? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the area of trapezium whose parallel sides are 11 m and 25m long and the nonparallel sides are 15m and 13m long?.
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