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In the XY-plane, the sides of a rectangle are parallel to the X and Y axes. If one of the vertices of the rectangle is (−2, −3), what is the area of the rectangle?
(1) One of the vertices of the rectangle is (4, −3).
(2) One of the vertices of the rectangle is (4, 5).
(1) One of the vertices of the rectangle is (4, −3).
(2) One of the vertices of the rectangle is (4, 5).
12 Nov 2018, 03:58
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Bunuel
In the XY-plane, the sides of a rectangle are parallel to the X and Y axes. If one of the vertices of the rectangle is (−2, −3), what is the area of the rectangle?
(1) One of the vertices of the rectangle is (4, −3).
(2) One of the vertices of the rectangle is (4, 5).
(1) One of the vertices of the rectangle is (4, −3).
(2) One of the vertices of the rectangle is (4, 5).
Stmn1: in sufficient as other 3 vertices are not know
stmn2: Diagonal length can be found i.e. 10 and rectangle other side using 30:60:90 hence sufficient..
IMO B would be sufficient...
15 Mar 2020, 12:57
Kudos
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Bunuel
In the XY-plane, the sides of a rectangle are parallel to the X and Y axes. If one of the vertices of the rectangle is (−2, −3), what is the area of the rectangle?
(1) One of the vertices of the rectangle is (4, −3).
(2) One of the vertices of the rectangle is (4, 5).
(1) One of the vertices of the rectangle is (4, −3).
(2) One of the vertices of the rectangle is (4, 5).
Solution
Step 1: Analyse Question Stem
- • Sides of the rectangle are parallel to X and Y axes.
• One of the vertices is (-2, -3)
- • We need the product of length and breadth of the rectangle.
Step 2: Analyse Statements Independently (And eliminate options) – AD/BCE
Statement 1: One of the vertices of the rectangle is (4, -3)
- • We can find only one side of the rectangle with this.
- o We cannot find the area of the rectangle
Statement 2: One of the vertices of the rectangle is (4, 5)
- • As you can see in the diagram, we can figure out all coordinates of all the four points.
- o Thus, we can easily find the length and breadth and then the area of the rectangle.
