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# The base of a parallelogram is (p+4), altitude to the base is (p−3) an

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The base of a parallelogram is (p+4), altitude to the base is (p−3) an  [#permalink]

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14 Jul 2017, 14:54
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Question Stats:

100% (00:50) correct 0% (00:00) wrong based on 3 sessions

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The base of a parallelogram is (p+4), altitude to the base is (p−3) and the area is (p^2−4),find out its actual area.

A. 40sq. units
B. 54sq. units
C. 36sq. units
D. 60sq. units
E. 65sq. units

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The base of a parallelogram is (p+4), altitude to the base is (p−3) an  [#permalink]

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14 Jul 2017, 16:17
GTExl wrote:
The base of a parallelogram is (p+4), altitude to the base is (p−3) and the area is (p^2−4),find out its actual area.

A. 40sq. units
B. 54sq. units
C. 36sq. units
D. 60sq. units
E. 65sq. units

Kudo please if you liked the ques.

It should be D.

Applying formula, base x height.

$$(p+4)(p+3) = p^2 - 4$$

solving for $$p$$,

$$p^2 -3p + 4p -12 = p^2 - 4$$

$$p-12 = -4$$

$$p = 8$$

$$base = p+4 = 12$$
$$height = p-3 = 5$$

$$Area = base * height = 12 * 5 = 60$$

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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The base of a parallelogram is (p+4), altitude to the base is (p−3) an   [#permalink] 14 Jul 2017, 16:17
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