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Find the area of a trapezium whose parallel sides are 11 m and 25 m long, and the non parallel sides are 15 m and 13 m long.?
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Find the area of a trapezium whose parallel sides are 11 m and 25 m lo...
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Find the area of a trapezium whose parallel sides are 11 m and 25 m lo...
Given:
- Length of the parallel sides: 11 m and 25 m
- Length of the non-parallel sides: 15 m and 13 m
To find:
- Area of the trapezium
Formula:
- The formula to calculate the area of a trapezium is:
Area = 1/2 × (sum of parallel sides) × (distance between parallel sides)
Calculation:
To find the area of the trapezium, we need to calculate the distance between the parallel sides first. Since the lengths of the non-parallel sides are given, we can use the Pythagorean theorem to find the distance between the parallel sides.
Step 1: Calculate the distance between the parallel sides
Using the Pythagorean theorem, we have:
(d)^2 = (a)^2 + (b)^2
where d is the distance between the parallel sides, a and b are the lengths of the non-parallel sides.
Substituting the given values, we get:
(d)^2 = (15)^2 + (13)^2
d^2 = 225 + 169
d^2 = 394
d = √394
d ≈ 19.85 m
Step 2: Calculate the area of the trapezium
Using the formula for the area of a trapezium, we have:
Area = 1/2 × (sum of parallel sides) × (distance between parallel sides)
Substituting the given values, we get:
Area = 1/2 × (11 + 25) × 19.85
Area = 1/2 × 36 × 19.85
Area = 18 × 19.85
Area ≈ 357.3 m²
Answer:
The area of the trapezium is approximately 357.3 square meters.
- Length of the parallel sides: 11 m and 25 m
- Length of the non-parallel sides: 15 m and 13 m
To find:
- Area of the trapezium
Formula:
- The formula to calculate the area of a trapezium is:
Area = 1/2 × (sum of parallel sides) × (distance between parallel sides)
Calculation:
To find the area of the trapezium, we need to calculate the distance between the parallel sides first. Since the lengths of the non-parallel sides are given, we can use the Pythagorean theorem to find the distance between the parallel sides.
Step 1: Calculate the distance between the parallel sides
Using the Pythagorean theorem, we have:
(d)^2 = (a)^2 + (b)^2
where d is the distance between the parallel sides, a and b are the lengths of the non-parallel sides.
Substituting the given values, we get:
(d)^2 = (15)^2 + (13)^2
d^2 = 225 + 169
d^2 = 394
d = √394
d ≈ 19.85 m
Step 2: Calculate the area of the trapezium
Using the formula for the area of a trapezium, we have:
Area = 1/2 × (sum of parallel sides) × (distance between parallel sides)
Substituting the given values, we get:
Area = 1/2 × (11 + 25) × 19.85
Area = 1/2 × 36 × 19.85
Area = 18 × 19.85
Area ≈ 357.3 m²
Answer:
The area of the trapezium is approximately 357.3 square meters.
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Find the area of a trapezium whose parallel sides are 11 m and 25 m long, and the non parallel sides are 15 m and 13 m long.?
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Find the area of a trapezium whose parallel sides are 11 m and 25 m long, and the non parallel sides are 15 m and 13 m 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 a trapezium whose parallel sides are 11 m and 25 m long, and the non parallel sides are 15 m and 13 m 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 a trapezium whose parallel sides are 11 m and 25 m long, and the non parallel sides are 15 m and 13 m long.?.
Find the area of a trapezium whose parallel sides are 11 m and 25 m long, and the non parallel sides are 15 m and 13 m 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 a trapezium whose parallel sides are 11 m and 25 m long, and the non parallel sides are 15 m and 13 m 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 a trapezium whose parallel sides are 11 m and 25 m long, and the non parallel sides are 15 m and 13 m long.?.
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