Question

area fo rectangle and square are same if the length of rectangle is 16cm and breath is 9cm . find side of square
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Answer 1

Question -

Area of rectangle and square are same if the length of rectangle is 16 cm and breadth is 9 cm,find the side of square?

Solution -

Here,

Length of the rectangle (l) = 16cm

Breadth of the rectangle (b) = 9cm

Given that,

Area of rectangle = Area of square

$\implies \: l \times b = {(side)}^{2}$

Putting the values,

$⟹16 \times 9 = {(side)}^{2}$

$⟹ {(side)}^{2} = 144$

$⟹side = \sqrt{144}$

$⟹side = 12$

Therefore the side of the square is 12cm

Related Formulae -

• Area of rectangle = length × breadth

• Area of square = (side)²

• Perimeter of rectangle = 2(length +breadth)

• Perimeter of square = 4×side

Answer 2

Question:-

Area fo rectangle and square are same if the length of rectangle is 16cm and breadth is 9cm . find side of square.

Solution:-

Given,

• Area of rectangle and area of square if length of rectangle is 16cm and breadth is 9cm.

Area of rectangle = Area of square

( l × b ) = ( side )²

( 16 × 9 ) = side²

144 = side²

side = √144

$\boxed{ \: side \: = \: 12 \: }$

∴ The side of the square is 12cm

Verification:-

Area of rectangle = Area of square

( l × b ) = ( side )²

( 16 × 9 ) = 12²

$\boxed{ \: 144 \: = \: 144 \: }$