Question

10. The area of a square plot of land is 1296 sq.m. What is the length of that plot?
3
2.​

Answer 1

Answer:

Length of the square plot = 36m

Step-by-step explanation:

Given :

Area of the square plot = 1296 m²

To find :

The length of the square plot

Taken :

Let the length be x

To find the length of the square plot use this formula -:

$\boxed{\sf{A=x\times x}}$

Where,

A = Area

Solution :

$:\implies\sf{1296=x\times x}$

$:\implies\sf{1296={x}^{2}}$

$:\implies\sf{\sqrt{1296}=x}$

$:\implies\sf{36m=x}$

Extra information :

▪︎To find the perimeter of the square -:

$\boxed{\sf{P=4\times s}}$

Where,

P = Perimeter

s = Side

▪︎To find the diagonal of the square -:

$\boxed{\sf{d=\sqrt{2}s}}$

Where,

d = Diagonal

s = Side

Answer 2

${\huge{\bold{\underline{Answer:-}}}}$

Answer:

Length of the square plot = 36m

Step-by-step explanation:

Given :

Area of the square plot = 1296 m²

To find :

The length of the square plot

Taken :

Let the length be x

To find the length of the square plot use this formula -:

\boxed{\sf{A=x\times x}}A=x×x

Where,

A = Area

Solution :

:\implies\sf{1296=x\times x}:⟹1296=x×x

:\implies\sf{1296={x}^{2}}:⟹1296=x2

:\implies\sf{\sqrt{1296}=x}:⟹1296=x

:\implies\sf{36m=x}:⟹36m=x

Extra information :

▪︎To find the perimeter of the square -:

\boxed{\sf{P=4\times s}}P=4×s

Where,

P = Perimeter

s = Side

▪︎To find the diagonal of the square -:

\boxed{\sf{d=\sqrt{2}s}}d=2s

Where,

d = Diagonal

s = Side