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13 Oct 2025, 10:00
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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100% (01:18) correct
0% (00:00) wrong based on 2 sessions
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A sign in the shape of an arrow (above) is cut along the dotted line to create a rectangle and a triangle. Which of the following must be true?
Indicate all that apply.
A. The sum of the side lengths of the rectangle is greater than the sum of the side lengths of the triangle.
B. The area of the rectangle is greater than the area of the triangle.
C. The sum of the measures of the angles of the rectangle, in degrees, is greater than the sum of the measures of the angles of the triangle, in degrees.
D. The number of acute angles in the triangle is greater than the number of acute angles in the rectangle.
Attachment:
GMAT-Club-Forum-aoacrq7e.png [ 13.75 KiB | Viewed 154 times ]
18 Oct 2025, 03:01
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Official Explanation
Remember that geometry diagrams on the GRE are not drawn to scale and may be thought of as flexible, where not restricted by given information.
If the arrow is shaped as above, it is easy to see that (A) and (B) are incorrect, because the triangle has a greater perimeter and area than the rectangle.
(C) is correct, because the sum of the interior angles of a triangle is 180°, while the sum of the interior angles of a rectangle, or any quadrilateral, is 360°.
(D) is correct, because a rectangle has four 90° angles, and thus no angles that are acute (measuring less than 90°).
A triangle must have at least two acute angles, or the sum of its angles would be greater than 180°.
Answer: C,D
GMAT-Club-Forum-57peg4vj.png [ 13.34 KiB | Viewed 128 times ]
Remember that geometry diagrams on the GRE are not drawn to scale and may be thought of as flexible, where not restricted by given information.
If the arrow is shaped as above, it is easy to see that (A) and (B) are incorrect, because the triangle has a greater perimeter and area than the rectangle.
(C) is correct, because the sum of the interior angles of a triangle is 180°, while the sum of the interior angles of a rectangle, or any quadrilateral, is 360°.
(D) is correct, because a rectangle has four 90° angles, and thus no angles that are acute (measuring less than 90°).
A triangle must have at least two acute angles, or the sum of its angles would be greater than 180°.
Answer: C,D
Attachment:
GMAT-Club-Forum-57peg4vj.png [ 13.34 KiB | Viewed 128 times ]
