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In the xy-plane, the sides of a certain rectangle are parallel to the

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New post 02 Apr 2019, 03:11
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In the xy-plane, the sides of a certain rectangle are parallel to the axes. If one of the vertices of the rectangle is (-1,-2), what is the perimeter of the rectangle?

(1) One of the vertices of the rectangle is (2, -2).
(2) One of the vertices of the rectangle is (2, 3).

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Re: In the xy-plane, the sides of a certain rectangle are parallel to the  [#permalink]

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New post 02 Apr 2019, 07:29
Bunuel wrote:
In the xy-plane, the sides of a certain rectangle are parallel to the axes. If one of the vertices of the rectangle is (-1,-2), what is the perimeter of the rectangle?

(1) One of the vertices of the rectangle is (2, -2).
(2) One of the vertices of the rectangle is (2, 3).


Given: One vertex is at (-1,-2) and sides of rectangle are parallel to axes)

Question: Area of the rectangle = ?

Statement 1: One of the vertices of the rectangle is (2, -2).

This information gives us only one side of the rectangle which is 3 units long (Distance between (-1,-2) and (2,-2)

Since the other adjacent side of the rectangle is unknown hence

NOT SUFFICIENT

Statement 2: One of the vertices of the rectangle is (2, 3)

This statement gives us the information that the sides of rectangle are 3 (x-coordinate change from -1 to 2) and 5 (y-coordinate change from -2 to 3) units long

i.e area of rectangle = 3*5 = 15 units

SUFFICIENT

Answer: Option B
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Re: In the xy-plane, the sides of a certain rectangle are parallel to the  [#permalink]

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New post 07 Apr 2019, 05:45
GMATinsight its still not easy to understand. Can you please help and elaboarte?

GMATinsight wrote:
Bunuel wrote:
In the xy-plane, the sides of a certain rectangle are parallel to the axes. If one of the vertices of the rectangle is (-1,-2), what is the perimeter of the rectangle?

(1) One of the vertices of the rectangle is (2, -2).
(2) One of the vertices of the rectangle is (2, 3).


Given: One vertex is at (-1,-2) and sides of rectangle are parallel to axes)

Question: Area of the rectangle = ?

Statement 1: One of the vertices of the rectangle is (2, -2).

This information gives us only one side of the rectangle which is 3 units long (Distance between (-1,-2) and (2,-2)

Since the other adjacent side of the rectangle is unknown hence

NOT SUFFICIENT

Statement 2: One of the vertices of the rectangle is (2, 3)

This statement gives us the information that the sides of rectangle are 3 (x-coordinate change from -1 to 2) and 5 (y-coordinate change from -2 to 3) units long

i.e area of rectangle = 3*5 = 15 units

SUFFICIENT

Answer: Option B

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Re: In the xy-plane, the sides of a certain rectangle are parallel to the   [#permalink] 07 Apr 2019, 05:45
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