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The height of trapezium is 7 M and one of its basic 8 M if the area of trapezium is 154 m square then find the other base?
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The height of trapezium is 7 M and one of its basic 8 M if the area of...
The area of a trapezium is calculated using the formula:
Area = (a + b) / 2 * h
Where a and b are the lengths of the two bases of the trapezium, and h is the height of the trapezium.
In this case, the height of the trapezium is given as 7 M, and one of the bases is given as 8 M. The area of the trapezium is given as 154 M2. We can use this information to solve for the length of the other base.
First, we can substitute the given values into the formula to get:
154 = (a + 8) / 2 * 7
Then, we can rearrange the terms and solve for a to find the length of the other base:
154 * 2 / 7 = a + 8
308 / 7 = a + 8
44 = a + 8
36 = a
Therefore, the length of the other base of the trapezium is 36 M. This is the length of the base that is not given in the question, and is calculated using the information provided.
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The height of trapezium is 7 M and one of its basic 8 M if the area of...
To find the other base of the trapezium, we can use the formula for the area of a trapezium. Let's break down the solution step-by-step.
Area of a Trapezium Formula
The area (A) of a trapezium can be calculated using the formula:
A = (1/2) × (a + b) × h
Where:
- A = Area of the trapezium
- a = Length of one base
- b = Length of the other base
- h = Height of the trapezium
Given Values
- Height (h) = 7 m
- One base (a) = 8 m
- Area (A) = 154 m²
Substituting the Values
Plug in the known values into the area formula:
154 = (1/2) × (8 + b) × 7
Simplifying the Equation
1. First, simplify the equation:
- 154 = (1/2) × (8 + b) × 7
- 154 = (7/2) × (8 + b)
2. Multiply both sides by 2 to eliminate the fraction:
- 308 = 7 × (8 + b)
3. Divide both sides by 7:
- 44 = 8 + b
Finding the Other Base
Now, solve for b by isolating it:
- b = 44 - 8
- b = 36 m
Conclusion
The length of the other base of the trapezium is 36 m. This is calculated by rearranging the area formula and substituting the known values systematically.
Area of a Trapezium Formula
The area (A) of a trapezium can be calculated using the formula:
A = (1/2) × (a + b) × h
Where:
- A = Area of the trapezium
- a = Length of one base
- b = Length of the other base
- h = Height of the trapezium
Given Values
- Height (h) = 7 m
- One base (a) = 8 m
- Area (A) = 154 m²
Substituting the Values
Plug in the known values into the area formula:
154 = (1/2) × (8 + b) × 7
Simplifying the Equation
1. First, simplify the equation:
- 154 = (1/2) × (8 + b) × 7
- 154 = (7/2) × (8 + b)
2. Multiply both sides by 2 to eliminate the fraction:
- 308 = 7 × (8 + b)
3. Divide both sides by 7:
- 44 = 8 + b
Finding the Other Base
Now, solve for b by isolating it:
- b = 44 - 8
- b = 36 m
Conclusion
The length of the other base of the trapezium is 36 m. This is calculated by rearranging the area formula and substituting the known values systematically.
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The height of trapezium is 7 M and one of its basic 8 M if the area of trapezium is 154 m square then find the other base?
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The height of trapezium is 7 M and one of its basic 8 M if the area of trapezium is 154 m square then find the other base? 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 The height of trapezium is 7 M and one of its basic 8 M if the area of trapezium is 154 m square then find the other base? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The height of trapezium is 7 M and one of its basic 8 M if the area of trapezium is 154 m square then find the other base?.
The height of trapezium is 7 M and one of its basic 8 M if the area of trapezium is 154 m square then find the other base? 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 The height of trapezium is 7 M and one of its basic 8 M if the area of trapezium is 154 m square then find the other base? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The height of trapezium is 7 M and one of its basic 8 M if the area of trapezium is 154 m square then find the other base?.
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