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The area of trapezium is 450cm² and the distance between two parallel sides is 15cm. if the length of one of the parallel sides is 18cm. find the length of the other parallel side?
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The area of trapezium is 450cm² and the distance between two parallel ...
Given Information
- Area of trapezium = 450 cm²
- Distance between the parallel sides (height) = 15 cm
- Length of one parallel side (base 1) = 18 cm
Formula for Area of Trapezium
The area (A) of a trapezium is given by the formula:
A = (1/2) × (Base1 + Base2) × Height
Where:
- Base1 = length of one parallel side
- Base2 = length of the other parallel side
- Height = distance between the parallel sides
Substituting Known Values
Now, substituting the known values into the formula:
450 = (1/2) × (18 + Base2) × 15
Calculating Base2
1. First, simplify the equation:
450 = (1/2) × (18 + Base2) × 15
450 = (15/2) × (18 + Base2)
2. Multiply both sides by 2 to eliminate the fraction:
900 = 15 × (18 + Base2)
3. Divide both sides by 15:
60 = 18 + Base2
4. Finally, isolate Base2:
Base2 = 60 - 18
Base2 = 42 cm
Conclusion
The length of the other parallel side (Base2) is 42 cm.
- Area of trapezium = 450 cm²
- Distance between the parallel sides (height) = 15 cm
- Length of one parallel side (base 1) = 18 cm
Formula for Area of Trapezium
The area (A) of a trapezium is given by the formula:
A = (1/2) × (Base1 + Base2) × Height
Where:
- Base1 = length of one parallel side
- Base2 = length of the other parallel side
- Height = distance between the parallel sides
Substituting Known Values
Now, substituting the known values into the formula:
450 = (1/2) × (18 + Base2) × 15
Calculating Base2
1. First, simplify the equation:
450 = (1/2) × (18 + Base2) × 15
450 = (15/2) × (18 + Base2)
2. Multiply both sides by 2 to eliminate the fraction:
900 = 15 × (18 + Base2)
3. Divide both sides by 15:
60 = 18 + Base2
4. Finally, isolate Base2:
Base2 = 60 - 18
Base2 = 42 cm
Conclusion
The length of the other parallel side (Base2) is 42 cm.
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The area of trapezium is 450cm² and the distance between two parallel sides is 15cm. if the length of one of the parallel sides is 18cm. find the length of the other parallel side?
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The area of trapezium is 450cm² and the distance between two parallel sides is 15cm. if the length of one of the parallel sides is 18cm. find the length of the other parallel side? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The area of trapezium is 450cm² and the distance between two parallel sides is 15cm. if the length of one of the parallel sides is 18cm. find the length of the other parallel side? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The area of trapezium is 450cm² and the distance between two parallel sides is 15cm. if the length of one of the parallel sides is 18cm. find the length of the other parallel side?.
The area of trapezium is 450cm² and the distance between two parallel sides is 15cm. if the length of one of the parallel sides is 18cm. find the length of the other parallel side? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The area of trapezium is 450cm² and the distance between two parallel sides is 15cm. if the length of one of the parallel sides is 18cm. find the length of the other parallel side? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The area of trapezium is 450cm² and the distance between two parallel sides is 15cm. if the length of one of the parallel sides is 18cm. find the length of the other parallel side?.
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