The area of a parallelogram is 72 , cm^{2} an | vedclass

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(A) Let the base of the parallelogram be $x \, cm$.Given that the altitude is twice the corresponding base,so the altitude is $2x \, cm$.The area of a

Vedclass · Accepted Answer

$6$

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(A) Let the base of the parallelogram be $x \, cm$.Given that the altitude is twice the corresponding base,so the altitude is $2x \, cm$.The area of a parallelogram is given by the formula: $	ext{Area} = 	ext{base} 	imes 	ext{altitude}$.Substituting the given values: $72 = x 	imes 2x$.$72 = 2x^{2}$.Dividing both sides by $2$,we get $x^{2} = 36$.Taking the square root of both sides,$x = 6$.Therefore,the length of the base is $6 \, cm$.

The area of a parallelogram is $72 \, cm^{2}$ and its altitude is twice the corresponding base. The length of the base is.....$cm$.

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