Builder ‘A’ says that the flat is square shaped and the area is 3853 square feet
b) Builder ‘B’ says that the flat is square shaped and the area is 3249 square feet .
c) Builder ‘C says that the flat is square shaped and the area is 3844 square feet.
A) Without doing calculations, Identify which builder is definitely giving a wrong flat size .
Explain, how you derive this conclusion.
Answers
Answer:
Builder A is wrong
Step-by-step explanation:
All of them say that the flat is square-shaped. So the area should be the square of sides
Area=Side²
So let's see if the area is actually a square of a side
Builder A: Area=3853 square feet
Now, we see the digit at Ones place. By observing, we see that there is no number whose Ones digit when squared, gives 3 at place(Think of square of numbers from 1 to 10 and the Ones digit at the squared number)
Builder B and C: Area=3249 and 3844 square feet respectively
In both of there cases, we can see that there are numbers with there Ones digit squaring to 4 (B's case) and 9 (C's case) as 2 and 4.
Therefore, A is wrong
Answer:
a) Builder A
Step-by-step explanation:
Since the flat is in square shape the
measure of the side would be same
When a number is multiplied by the
same number the last number of the
product will be the square of the last
number of multiplied numbers .
As , we don't get 3 at last by multiplying
any number it is calculated easily.
☆ [If you don't understand what I had explained
above you can consider the way of deriving
the answer I had provided below it can be
done in mind easily ]
Area of square = side × side
(let the side be x )
In case A ,
Area = 3853
= 3853 = x × x
= 3853 = x²
= √3853 = x
In case B ,
Area = 3249
= 3249 = x × x
= 3249 = x²
= √3249 = x
57 = x
In case C ,
Area = 3844
= 3844 = x × x
= 3844 = x²
= √3844 = x
62 = x
From above it is proved that
Builder A is giving wrong definition