What is the perimeter of a square with area 9p^2/16 ?
A. 3p/4
B. 3p^2/4
C. 3p
D. 3p^2
E. 4p/3
The OA is C.
Can any expert illustrate this with an example please? I don't have it so clear.
What is the perimeter...
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Hello LUANDATO.
Let's take a look at your question.
The area of a square is equal to L² where L is the lenght of the side of the square.
So, we have $$L^2=\frac{9P^2}{16},$$
this implies that $$L=\frac{3P}{4}.$$
Now, the perimeter of a square is 4L. It is, $$Perimeter=4L=4\cdot\frac{3P}{4}=3P.$$
So, the correct asnwer is C.
I hope this answer can help you.
Example:
Let be P=2, so the area of the square is A=9*4/16.
It implies that the side of the square is equal to 3*2/4. Now, the perimeter is 4*(3*2/4)=3*2.
On the other hand, 3*2=3*P.
I'm available if you'd like any follow up.
Let's take a look at your question.
The area of a square is equal to L² where L is the lenght of the side of the square.
So, we have $$L^2=\frac{9P^2}{16},$$
this implies that $$L=\frac{3P}{4}.$$
Now, the perimeter of a square is 4L. It is, $$Perimeter=4L=4\cdot\frac{3P}{4}=3P.$$
So, the correct asnwer is C.
I hope this answer can help you.
Example:
Let be P=2, so the area of the square is A=9*4/16.
It implies that the side of the square is equal to 3*2/4. Now, the perimeter is 4*(3*2/4)=3*2.
On the other hand, 3*2=3*P.
I'm available if you'd like any follow up.
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Hi LUANDATO,
We're told that the area of a SQUARE is (9P^2)/16. We're asked for the PERIMETER of the square. This question can be solved by TESTing VALUES.
Since the denominator is 16, we can 'cancel' it out if we make P=4...
IF... P=4, then the area of the square is 9(16)/16 = 9. This means that each side of the square = 3. Thus, we're looking for an answer that equals 4(3) = 12 when we plug P=4 into the answer choices. There's only one answer that matches...
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
We're told that the area of a SQUARE is (9P^2)/16. We're asked for the PERIMETER of the square. This question can be solved by TESTing VALUES.
Since the denominator is 16, we can 'cancel' it out if we make P=4...
IF... P=4, then the area of the square is 9(16)/16 = 9. This means that each side of the square = 3. Thus, we're looking for an answer that equals 4(3) = 12 when we plug P=4 into the answer choices. There's only one answer that matches...
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
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Each side of the square is 3p/4, so the perimeter of the square is 3p/4 * 4 = 3p.BTGmoderatorLU wrote: ↑Tue Oct 17, 2017 6:53 pmWhat is the perimeter of a square with area 9p^2/16 ?
A. 3p/4
B. 3p^2/4
C. 3p
D. 3p^2
E. 4p/3
The OA is C.
Can any expert illustrate this with an example please? I don't have it so clear.
Answer: C
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