A farmer has a rectangular piece of land measuring 840 meters by 396 meters. He divides it into equal square plots of equal size
1 answer:
Answer:
The maximum area of one square plot is 144
Step-by-step explanation:
Start by looking at what are the greater common factor of both provided dimensions (840 and 396) to find what the numbers are they both can be divided by evenly:
therefore, both numbers can be divided by
Which then gives:
Then, one can divide the longest side (840 m) into 70 sections of 12 meters each, and the shortest side of the piece of land (396 m) into 33 sections of 12 meters each.
Then we can have a total of 33 * 70 = 2310 smaller lots of 12 m by 12 m
That is smaller plots of a total area 144 square meters
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Answer:
Step-by-step explanation:
This is a Combination (as in permutation vs combination) question the symbol (n r) refers to "n choose r". This is sometimes written as nCr
i.e the question is asking you to find how many combinations each will yield when you chose r items from n item without repetition and order does not matter.
I will only do the first question for you and you can just follow the same steps to solve the rest of the questions.
Recall that
Consider question a) we are given (5 1) or ₅C₁
we can see that n = 5 and r = 1
If we substitute this into the formula:
₅C₁ = (5!) / [ (1!)(5- 1)!]
= (5!) / [ (5- 1)!]
= (5!) / (4!)
= (5·4·3·2·1) / (4·3·2·1)
= 5
hence ₅C₁ = 5