ChandlerBong
Hi Experts,
Bunuel,
KarishmaB,
Can you please share your approach to this question?
Thanks in advance.
Dividing a rectangle of measurements 120 by 80 into 10 equal rectangles can be done in many different ways. In each, the perimeter will be different.
Each small rectangle will have an area of 120*8. The length and width could be 12 and 80 or 120 and 8 or 16 and 60 or 24 and 40 etc.
(1) one of the demensions of each garden is to be 40 feet.If one dimension is 40, the other must be 24. So the length of partitions is defined now, no matter what the orientation of the gardens on the plot. Hence the statement is sufficient alone.
If you are not sure, think about dividing a rectangular sheet of paper into 10 equal rectangles. The length of the partitions is every line you draw along which you cut the paper to get the triangles. Each point on each line you draw divides the rectangle into two parts and hence you count it twice in the sum of the perimeters of the small rectangles.
Perimeter of the big rectangle = 2*(120 + 80) = 400
Perimeter of all small rectangles = 10 * 2*(40 +24) = 1280
We subtract 400 out of it because it is not included in the length of "partitions." We get 880.
Now each partition length is counted twice in 880 (because it divides the area into two parts so it forms the perimeter of both the parts).
Hence length of partition will be 440, no matter how the 10 rectangles are placed in the big rectangle.
Sufficient alone.
(2) one of the dimensions of each garden is to be 24 feet.Exactly same logic as statement 1 above.
Sufficient alone.
Answer (D)