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Answers
Answer:
Suppose that side of 1st square is 'a' and 2nd square 's side is 'b'.
Then area of 1st square + 2nd square = a square + b square
a square +b square = 468
Now , perimeter of 1st square = 4a
and perimeter of 2nd square =4b
4a -4b = 24
4(a-b) =24
(a-b) = 6
a = 6+b
Now put the value of a that is 6+b in a square + b square
(b+6) square + b square = 468
Here after calculation value of b = 12
And value of a will be also 12
Answer:
Let x be the length of the side of First square and y be the length of side of the second square.
Then, x2+y2=468...(i)
Let x be the length of the side of the bigger square
4x−4y=24
⇒ x−y=6 or x=y+6...(ii)
Putting the value of x in terms of y from equation (ii), in equation (i), we get
(y+6)2+y2=468
⇒ y2+12y+36+y2=468
⇒ y2+18y−12y−216=0
⇒ y(y+18)12−(y+18)=0
⇒ (y+18)(y−12)=0
Either y+18=0 or y−12=0
⇒ y=−18 or y=12
But sides cannot be negative, so y=12
Therefore, x=12+6=18
Hence, sides of two square are 18m and 12m
Explanation:
Hope this will help you dear