There is a grid of 20 squares by 10 squares. How many
different rectangles are possible?
Note that square is a rectangle.
Answer / guest
11550
The Generic solution to this is:
Total number of rectangles = (Summation of row numbers) *
(Summation of column numbers)
Here there are 20 rows and 10 columns or vice versa. Hence,
total possible rectangles
= ( 20 + 19 + 18 + 17 + 16 + .... + 3 + 2 + 1 ) * ( 10 + 9
+8 + 7 + .... + 3 + 2 + 1)
= ( 210 ) * (55)
= 11550
Hence, total 11,550 different rectangles are possible.
If you don't believe it, try formula on some smaller grids
like 4x2, 3x2, 3x3 etc...
Is This Answer Correct ? | 25 Yes | 0 No |
consider 3 by 3 matrix & take 1-9 numbers but not repeat the numbers add each row and column then each row and column has the answer 13 how?
three circles with same radius r are drawn with centres as three vertices of a triangle.what is the sum of areas of the intersections of these circles with the triangle
Shahrukh speaks truth only in the morning and lies in the afternoon, whereas Salman speaks truth only in the afternoon and lies in the morning. A says that B is Shahrukh. Is it morning or afternoon and who is A - Shahrukh or Salman? It is Afternoon and A can be Salman or Shahrukh. If A is Salman, he is speaking truth. If A is Shahrukh, he is lying. Want to confirm it? Consider following 4 possible answers and check for its truthness individually.
what makes a road as abroad?
Mr. Wagle goes to work by a bus. One day he falls asleep when the bus still has twice as far to go as it has already gone. Halfway through the trip he wakes up as the bus bounces over some bad potholes. When he finally falls asleep again, the bus still has half the distance to go that it has already travelled. Fortunately, Mr. Wagle wakes up at the end of his trip. What portion of the total trip did Mr. Wagle sleep?
A big cube painted with yellow colour in all sides. if you cut it into 1000 cubes with same dimension. than how many cubes were without painted anyside. explain it?
12 Answers eBay, eClerx, Sitel, Wipro,
A person travels on a cycle from home to church on a straight road with wind against him. He took 4 hours to reach there. On the way back to the home, he took 3 hours to reach as wind was in the same direction. If there is no wind, how much time does he take to travel from home to church?
Write 1111......(243 times) i.e. a 243 digit number with all 1s. Prove that it is divisible by 243.
Find the 8, 19, 21, 25, 20, ?
A circle of a playground is to be fenced at circumference.The cost of the fencing is Rs.150 per sqm. what is the total cost , if the diameter is 70?
24 Answers HCL, RRB, TCS,
Two identical pack of cards A and B are shuffled thoroughly. One card is picked from A and shuffled with B. The top card from pack A is turned up. If this is the Queen of Hearts, what are the chances that the top card in B will be the King of Hearts?
Implement a multiple-reader-single-writer lock given a compare-and-swap instruction. Readers cannot overtake waiting writers.