Question

A rectangular field is 81 m long &49 m wide. A square has same area as that rectangular field.Find the side of the square

Answer 1

area of rect.=(49*81)cm sq.
area(square)= area(rectangle)
(side) square. =81*49
side=
$\sqrt{81 \times 49}$
9*7=63cm

Answer 2

Given :- A rectangular field is 81 m long and 49 m wide.

⠀⠀⠀⠀⠀A square has same area as that rectangular field.

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To Find :- The side of the square.

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Solution:-

• Let ABCD be a rectangular field.
• AB = DC = 81 m [length]
• AD = BC = 49 m [breadth]

⠀⠀⠀⠀⠀⠀⠀

• Area of the rectangular field = L × B

$\: \: \: \: \: : \implies \sf \: 81 \times 49$

⠀⠀

$\: \: \: \: \: \: \: \: : \implies \sf 3964$

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$\sf \underline{ According \: to \: the \: question \: ;-}$

$\: \: \: : \implies \sf \: a {}^{2} = 3969$

⠀⠀⠀⠀⠀⠀

$\: \: \: \: \: \: : \implies \sf \: a = \sqrt{ 3969 }$

⠀⠀⠀⠀⠀⠀⠀

$\: \: \: \: \: \: \: \: \: : \implies \sf \: 63$

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$\sf \purple {\: \underline{ {\therefore} \: The \: length \: of \: each \:side \: of \: the \: square = 63 \: m}}$