If the diagonal length of a square is tripled, how much is the increase in the perimeter of that square?
Please help the answer is tripled
Please help the answer is tripled
1 Answer
Explanation:
Let the original square have a side of length =
Then its perimeter will be =
And its diagonal will be =
or, diagonal =
Now, diagonal is increased by 3 times =
Now, if you look at the length of the original diagonal,
Similarly, the new diagonal =
So,
Now, the new perimeter =
You can see on comparing (1) and (2) that the new perimeter has increased by
Or, the increase in perimeter can be represented in percentage as =