GMAT Quantitative Reasoning Practice Test 8

Question : 38 of 76

Marks: +1, -0

The perimeter of a rectangle is 136 , what is the area of the rectangle?
(1) The length is more than twice the width.
(2) The length and width are both prime numbers larger than 30.

Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
Either statement BY ITSELF is sufficient to answer the question.
Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

Validate

Solution:

Define

L

as the length and

W

as the width.

2 L+2 W=136 → L+W=68

. We need one more equation in order to find the area.
Statement (1) does not give you exact values and therefore it's not sufficient.
Statement (2) tells us that both L and W are prime numbers larger than 30, using the equation in the question; the only option to get 68 is with 31 and 37. This statement is sufficient; the area is

31 × 37

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