The area of a triangle is equal to the area of the rectangle. Find the perimeter of the rectangle.
1. The perimeter of the square is 24 inches.
2. The sum of the length and the width is 13 inches.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question.
  • d)
    EACH statement ALONE is sufficient to answer the question asked.
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
Correct answer is option 'C'. Can you explain this answer?

GMAT Question

PRAVEEN KUMAR
Jul 23, 2019
Area of triangle = Area of rectangle
In statement 1, perimeter of the square is 24 = 4s, where s represents the side, s = 6. Therefore, area = 62 = 36 square inches.
Let l and w be the length and width of the rectangle respectively, then lw =36.
Thus, we cannot determine w or l hence the statement is insufficient.
In statement 2, the sum of the length (l) and width(w) is 13.
Hence l + w = 13 hence w = 13 - l. This is an equation in two unknowns hence, we cannot determine the value of w or l. Therefore, the statement is not sufficient.
Combining the two statements, we have l = 13 - w and  lw =36, substituting for l, we have (13 - w)w = 36
w2 - 13w + 36 = 0; w2 - 9w - 4w + 36 = 0
(w - 9)(w - 4) = 0,  w =9, w = 4.
Since let w = 9, then l = 4 so that 9 + 4 =13, thus, w must be 4.
w = 4.
Perimeter = 2(4 + 9) = 26 inches. Therefore, Correct answer: BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

Statement 2 says that sum of length and width is given viz. (l+w) and perimeter of rectangle is 2(l+w), hence only statement 2 is sufficient to get the answer as statement 1 is of no use to us.

This discussion on The area of a triangle is equal to the area of the rectangle. Find the perimeter of the rectangle.1. The perimeter of the square is 24 inches.2. The sum of the length and the width is 13 inches.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer? is done on EduRev Study Group by GMAT Students. The Questions and Answers of The area of a triangle is equal to the area of the rectangle. Find the perimeter of the rectangle.1. The perimeter of the square is 24 inches.2. The sum of the length and the width is 13 inches.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer? are solved by group of students and teacher of GMAT, which is also the largest student community of GMAT. If the answer is not available please wait for a while and a community member will probably answer this soon. You can study other questions, MCQs, videos and tests for GMAT on EduRev and even discuss your questions like The area of a triangle is equal to the area of the rectangle. Find the perimeter of the rectangle.1. The perimeter of the square is 24 inches.2. The sum of the length and the width is 13 inches.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer? over here on EduRev! Apart from being the largest GMAT community, EduRev has the largest solved Question bank for GMAT.
This discussion on The area of a triangle is equal to the area of the rectangle. Find the perimeter of the rectangle.1. The perimeter of the square is 24 inches.2. The sum of the length and the width is 13 inches.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer? is done on EduRev Study Group by GMAT Students. The Questions and Answers of The area of a triangle is equal to the area of the rectangle. Find the perimeter of the rectangle.1. The perimeter of the square is 24 inches.2. The sum of the length and the width is 13 inches.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer? are solved by group of students and teacher of GMAT, which is also the largest student community of GMAT. If the answer is not available please wait for a while and a community member will probably answer this soon. You can study other questions, MCQs, videos and tests for GMAT on EduRev and even discuss your questions like The area of a triangle is equal to the area of the rectangle. Find the perimeter of the rectangle.1. The perimeter of the square is 24 inches.2. The sum of the length and the width is 13 inches.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question.d)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'C'. Can you explain this answer? over here on EduRev! Apart from being the largest GMAT community, EduRev has the largest solved Question bank for GMAT.