the area of a parallelogram is 72 CM square and its altitude is twice and the corresponding base find the length of the base
Answers
The length of the base of a parallelogram is 6 cm.
Given that: Area of a parallelogram is 72 cm².
Altitude is twice the corresponding base.
To find : The length of the base of a parallelogram.
Formula used: Area of a parallelogram, A = b × h
Here in this formula, the altitude of a parallelogram is ‘h’ and the base of a parallelogram is ‘b’.
Solution:
Step 1 of 2 : According to the given condition :
Altitude , h = 2b …..(1)
[Altitude is twice the corresponding base]
Step 2 of 2 : Substitute the given value of the area of a parallelogram and altitude from eq. 1 in the formula:
Area of a parallelogram, A = b × h
72 = b × 2b
72 = 2b²
2b² = 72
b² = 72 ÷ 2
b² = 36
b = √36
b = 6 cm
Base = 6 cm
Hence, the length of the base of a parallelogram is 6 cm.
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Answer:
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