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Question
The area of a parallelogram is `392m^2` . If its altitude is twice the corresponding base, determined the base and the altitude.
Solution
Area of the parallelogram = `392 m^2`
Let the base of the parallelogram be b m.
Given:
Height of the parallelogram is twice the base
∴ `Height=2b m`
Area of a parallelogram = Base`xx`Height
⇒ 392=`bxx2b`
⇒`392=2b^2`
⇒`392/2=b^2`
⇒`196=b^2`
⇒ `B=14`
∴ Base=`14 m`
Altitude `2xxBase 2 xx4= 28m`
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