GMAT Quantitative Reasoning Practice Test 5

Question : 86 of 100

Marks: +1, -0

What is the perimeter of a rectangle having an area of

60 ?

(1) The length and width of the rectangle are even integers smaller than 25.
(2) The length of the rectangle is larger than three times the width.

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:

The question tells you that the area is 60, the area of a rectangle is equal to length

x

width, in order to find the perimeter, one should find the value of the length and the value of the width. Statement (1) tells us that both the length and the width are even integers and therefore we know their exact values because 60 can be factorized to:

1 × 60,2 × 30,3 × 20,4 × 15,5 × 12

and

6 × 10

. The only even integers smaller than 25 are

(6 × 10)

and we know the perimeter.

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