Question

area of a square is 2500m² find its diagonal​

Answer 1

Answer :-

• The length of the diagonal is 50√2.

Given :-

• Area of a square = 2500m².

To find :-

• The length of the diagonal.

Step by step explanation :-

Detailed explanation of solution :-

Let's understand!

We know that, Area of a square is side × Side. So, In the question, Area of square = 2500m². And, We need to find the side of square to find its diagonal.

How to solve ?

We will find the side of the square, And then find the length of the diagonal by using Pythagoras theorem.

Calculations :-

Area = 2500²

A = √2500 = 50m.

Thus, Side of square is 50m.

We know that :-

All angles in a square is equal to 90°.

By Pythagoras theorem,

(AC)² = (AD)² + (OC)²

AC = √50² + 50²

AC = √2500 + 2500

AC = √5000

AC = 50√2

Therefore, The length of the diagonal is 50√2cm.

Figure :-

$\setlength{\unitlength}{2mm}\begin{picture}(10,10)\linethickness{0.5mm}\put(6,2){\dashbox{0.01}(15,15)}\put(3,0){\bf D}\put(3,18){\bf A}\put(23,18){\bf B}\put(23,0){\bf C}\end{picture}$

[ NOTE - Here, AC is the diagonal , View this from Web ]

Answer 2

Heya!!!

Given the area of square=2500^2

Therefore side x side

=> side^2=2500 m^2

=> side=√2500

=> side=50 m

Diagonal of square=√(50^2+50^2)

=>√(2500+2500)

=> √5000

=>2x5x5√2

=> 50√2m