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The adjacent sides of a parallelogram are 15 cm and 8cm if the distance between the longer sides is 4 cm find the distance between the shorter sides?
Verified Answer
The adjacent sides of a parallelogram are 15 cm and 8cm if the distanc...
Given: bigger side as base = 15 cm
Smaller side as base = 8 cm
Distance (height) between the longer sides = 4 cm
Area of Parallelogram= base (15cm) x height
= 15 x 4 = 60 cm^2
Area of Parallelogram = 60 cm^2
Area of Parallelogram =base( 8cm) x height
60 = 8 x height
Height = 60 /8= 15/2= 7.5 cm Hence, the Distance between the shorter sides is 7.5 cm
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The adjacent sides of a parallelogram are 15 cm and 8cm if the distanc...
Understanding the Parallelogram
A parallelogram is a four-sided figure (quadrilateral) where opposite sides are equal and parallel. In this case, the adjacent sides are 15 cm and 8 cm.
Given Information
- Longer side (base) = 15 cm
- Shorter side (base) = 8 cm
- Distance between the longer sides (height) = 4 cm
Area of the Parallelogram
To find the area of the parallelogram, we can use the formula:
- Area = Base × Height
For the longer side:
- Area = 15 cm × 4 cm = 60 cm²
Finding the Distance Between the Shorter Sides
We need to find the distance between the shorter sides (height) when the base is 8 cm.
Using the same area formula:
- Area = Base × Height
We know the area is 60 cm², and we can find the height (h) as follows:
- 60 cm² = 8 cm × h
Now, we rearrange to solve for h:
- h = 60 cm² / 8 cm
Calculating this gives:
- h = 7.5 cm
Conclusion
The distance between the shorter sides of the parallelogram is 7.5 cm. Thus, the heights corresponding to the longer and shorter sides differ, emphasizing the characteristics of parallelograms where heights vary based on the base used for calculation.
A parallelogram is a four-sided figure (quadrilateral) where opposite sides are equal and parallel. In this case, the adjacent sides are 15 cm and 8 cm.
Given Information
- Longer side (base) = 15 cm
- Shorter side (base) = 8 cm
- Distance between the longer sides (height) = 4 cm
Area of the Parallelogram
To find the area of the parallelogram, we can use the formula:
- Area = Base × Height
For the longer side:
- Area = 15 cm × 4 cm = 60 cm²
Finding the Distance Between the Shorter Sides
We need to find the distance between the shorter sides (height) when the base is 8 cm.
Using the same area formula:
- Area = Base × Height
We know the area is 60 cm², and we can find the height (h) as follows:
- 60 cm² = 8 cm × h
Now, we rearrange to solve for h:
- h = 60 cm² / 8 cm
Calculating this gives:
- h = 7.5 cm
Conclusion
The distance between the shorter sides of the parallelogram is 7.5 cm. Thus, the heights corresponding to the longer and shorter sides differ, emphasizing the characteristics of parallelograms where heights vary based on the base used for calculation.
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The adjacent sides of a parallelogram are 15 cm and 8cm if the distance between the longer sides is 4 cm find the distance between the shorter sides?
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The adjacent sides of a parallelogram are 15 cm and 8cm if the distance between the longer sides is 4 cm find the distance between the shorter sides? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The adjacent sides of a parallelogram are 15 cm and 8cm if the distance between the longer sides is 4 cm find the distance between the shorter sides? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The adjacent sides of a parallelogram are 15 cm and 8cm if the distance between the longer sides is 4 cm find the distance between the shorter sides?.
The adjacent sides of a parallelogram are 15 cm and 8cm if the distance between the longer sides is 4 cm find the distance between the shorter sides? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The adjacent sides of a parallelogram are 15 cm and 8cm if the distance between the longer sides is 4 cm find the distance between the shorter sides? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The adjacent sides of a parallelogram are 15 cm and 8cm if the distance between the longer sides is 4 cm find the distance between the shorter sides?.
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