Question

12. The area of a square is 16200 m². Find the length of its diagonal.
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Answer 1

Answer:

127.2√2 or 179.8

Step-by-step explanation:

area of square=16200 m²

let the side if square is =x

so, area of square

x×x=16200 m²

x=√16200 m²

x=127.2

diagonal of square

=x√2

=127.2√2m

or

=127.2×1.41

179.8m

______@Deepak Razput.

Answer 2

➽ Question :-

The area of a square is $\sf 16200m^2$

➽ Solution :-

Given, area of the square PQRS is $\sf 16200m^2$

⇢Area of a square = Side × Side

⇢Let the unknown side be y.

$\pink \mapsto \sf y × y = 16200m^2$

$\pink \mapsto \sf y^2=16200m^2$

$\pink \mapsto \sf y= \sqrt{16200m^2}$

$\pink \mapsto \sf Side= \sqrt{16200m^2}$

In the square PQRS, QS is a diagnol and QRS is a right-angles triangle, so by using Pythaoras theorem, we can find the diagnol :-

⇛All the sides are equal in a square,

PQ=QR=RS=SP

$\green \mapsto \sf QS^2=QR^2+RS^2$

$\green \mapsto \sf QS^2= \sqrt{(16200} )^2 + \sqrt{(16200} )^2$

$\green \mapsto \sf QS^2=16200+16200$

$\green \mapsto \sf QS^2=32400m$

$\green \mapsto \sf QS = \sqrt{32400m}$

$\green \mapsto \sf QS=180m$

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✐✎✐✎Therefore, the diagnol is 180m.

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