Question

एक वर्गाकार मैदान के विकर्ण की लम्बाई 50m है तो मैदान का क्षेत्रफल ज्ञात करो।
Find the area of a square field which diagnols is 50 m​

Answer 1

Answer:

Diagonal is 50m

We know that Diagonal is √2 a

So √2 a = 50

a= 50/√2

area is 50/✓2×50/√2

=2500/2

1250 m^2 ans.........

Answer 2

Answer:

• The area of square field = 1249.62 m².

Given :

• Diagonal of square field = 50 m

To find :

• Area of the square field =?

Step-by-step explanation:

By Pythagoras Theorem,

Diagonal² = Base² + Perpendicular²

Let the side's of square be x and x.

So, (50)² = x ² + x²

2500 = 2x²

Or, 2x² = 2500

x² = 2500/2

x² = 1250

x = √1250

x = 35.35

Now,

Area of square field = side²

Substituting the values in the above formula, we get,

= (35.35)²

= 1249.62 m²

Thus, the area of square field = 1249.62 m²

Brainly Extra Knowledge :

• Perimeter of square = 4 × side

• Area of square = side²

• Diagonal of square = a√2.