The base of a parallelogram is thrice its height. If the area is 897 sq.cm. Find the base and the height of parallelogram.
Answers
SOLUTION
GIVEN
The base of a parallelogram is thrice its height.
The area is 897 sq.cm.
TO DETERMINE
The base and the height of parallelogram.
EVALUATION
Let the height of a parallelogram = a cm
Now it is given that the base of a parallelogram is thrice its height
∴ The base of a parallelogram = 3a cm
So by the given condition
3a × a = 897
⇒ 3a² = 897
⇒ a² = 897/3
⇒ a² = 299
⇒ a = 17.29
Height of the parallelogram = 17.29 cm
The base of parallelogram
= 3 × 17.29 cm
= 51.87 cm
FINAL ANSWER
Height of the parallelogram = 17.29 cm
The base of parallelogram = 51.87 cm
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Answer:
helps you
Step-by-step explanation:
The height of parallelogram is 51.87 cm
Step-by-step explanation:
Let The height of a parallelogram = a cm
Then
The base of a parallelogram = 3a cm
So by the given condition
3a×a = 897
3a^2 = 897
a^2 = 897/3
a^2 = 299
a = 17.29
So the height of parallelogram = 3×17.29= 51.87 cm