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14 Jul 2017, 14:54
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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
Kudo please if you liked the ques.
A. 40sq. units
B. 54sq. units
C. 36sq. units
D. 60sq. units
E. 65sq. units
Kudo please if you liked the ques.
Archived Topic
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14 Jul 2017, 16:17
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GTExl
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.
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 \(p\),
\(p^2 -3p + 4p -12 = p^2 - 4\)
\(p-12 = -4\)
\(p = 8\)
\(base = p+4 = 12\)
\(height = p-3 = 5\)
\(Area = base * height = 12 * 5 = 60\)
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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