The base of a parallelogram is 3 time of its corresponding height. if the area of the parallelogram is 48 sq cm, then find the base and the corresponding height of the parallelogram
Answers
✬ Base = 12 cm ✬
✬ Height = 4 cm ✬
Step-by-step explanation:
Given:
- The base of a parallelogram is 3 times of its height.
- Area of the parallelogram is 48 cm².
To Find:
- What is the measure of height and base of parallelogram ?
Solution: Let the meaure of height of parallelogram be h cm. Therefore,
➟ Base of ||gm = 3 times of height
➟ Base = 3h cm
As we know that the :-
★ Area of ||gm = ( Base Height ) ★
According to the question
- Area = 48 cm²
48 = ( Base Height )
48 = ( 3h h )
48 = 3h²
48/3 = h²
16 = h²
√16 = h
√4 4 = h
4 cm = h
So,
➯ Height of ||gm = h = 4 cm
➯ Base of ||gm = 3h = 3(4) = 12 cm
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★ Verification ★
➛ 48 = (Base)(Height)
➛ 48 = (12)(4)
➛ 48 = 48
[ Verified ]
GIVEN:
- The base of a parallelogram is 3 time of its corresponding height.
- Area of the parallelogram is 48 sq cm.
TO FIND:
- What is the base and the corresponding height of the parallelogram ?
SOLUTION:
Let the base of Parallelogram be 'b' cm and height be 'h' cm
According to question:-
☞ The base of a parallelogram is 3 time of its corresponding height.
We know that the formula for finding the area of parallelogram is:-
According to question:-
On putting the given values in the formula, we get
《From equation 1)》
Put the value of 'h' in equation 1)
❝ Hence, the base of the Parallelogram is 12 cm and height of the Parallelogram is 4 cm ❞
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VERIFICATION:
Put the values in the formula:
➻
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