Power preparion problem

[suvra]

A set of rectangle consists of exactly one rectangle of each possible size such that for each rectangle the area is 24 & the length & width are integers

Col A

The proportion of rectangles in the set that have perimeter greater than 25


Col B

0.5

Can any one explain it please

Suvra

[Jeanette]

There are 4 possible rectangles that have integer sides and an area of 24:

1x24
2x12
3x8
4x6

Of the four, 1x24 and 2x12 have perimeters greater than 25, and 3x8 and 4x6 have perimeters of 24 or less. So half, or .5, of the rectangles have perimeters greater than 25.

[suvra]

Originally Posted by Jeanette

There are 4 possible rectangles that have integer sides and an area of 24:

1x24
2x12
3x8
4x6

Of the four, 1x24 and 2x12 have perimeters greater than 25, and 3x8 and 4x6 have perimeters of 24 or less. So half, or .5, of the rectangles have perimeters greater than 25.

Hi
I didnt understand which one will be the answer a, b, c or d where a is col a is greater & then the others are as usual answer pattern

[Jeanette]

The answer is C. The two columns are equal. The proportion of rectangles with a perimeter over 25 is exactly half of possible rectangles with area 24 and sides that are integers.

[econ_phd_2009]

Two col are equal . so answer must be C.