Question

the area of a square is 18050 m square. find the length of the diagonal. plz tell the answer

Answer 1

heya!!

Let the sides of square be = x

it's area is = x²

ACCORDING TO THE QUESTION!

x² = 18050m²

x = 134.35


So, length of square is 134.35m


Let the length of diagonal be = L

L² = 2a²

L = a √2

L = 134.35 × 1.414

L = 189.97m


Have a nice day ahead.

Answer 2

Given : The area of the square = 18050²

To find : Length of the diagonal

Solution :-

Step 1 : Find the side of the square

Area of square = (side)²

∴ 18050 = (side)²

∴ side = √18050

∴ $\boxed{side\:=\:134.3\:m}$

We know that all sides of square are always equal and its diagonals are also equal.

Step 2 : Find the length of the diagonal

Formula for finding the length of the diagonal :-

Diagonal of square = √2 × side

Let the length of the diagonal be x

∴ x = √2 × 134.3

∴ x = 190 (approx.)

∴ The length of the diagonal is $\boxed{\boxed{\tt{190\:m^{2}}}}$