2. If the diagonal of a square is'a' units, what is the diagonal of th

1.	2. If the diagonal of a square is'a' units, what is the diagonal of the square, whose area isdoubel that of the first square?
Answer» Let the sides of the first square be denoted byx. Therefore,x²+x²=a²by the Pythagorean theorem 2x²=a² Therefore, the area of the first square is0.5a² If the area of the second square is double that of the first square, the area of the second square isa² Therefore, the sides of the second square has lengthaa. Therefore, the second square has diagonal of length(2^1/2)a= √2a² Please like the solution 👍 ✔️

2. If the diagonal of a square is'a' units, what is the diagonal of the square, whose area isdoubel that of the first square?

Answer»

Let the sides of the first square be denoted byx.

Therefore,x²+x²=a²by the Pythagorean theorem

2x²=a²

Therefore, the area of the first square is0.5a²

If the area of the second square is double that of the first square, the area of the second square isa²

Therefore, the sides of the second square has lengthaa.

Therefore, the second square has diagonal of length(2^1/2)a= √2a²

Please like the solution 👍 ✔️