Question

the area of rectangular is 120m2 . if the ratio of length and breadth is 6:5 .find the perimeter​

Answer 1

Correct Question :-

The area of rectangular is 120m^2 . if the ratio of length and breadth is 6:5. find the perimeter?

Solution :-

$\large{ \underline{ \sf{Given :-}}}$

❥ Length = 6x

❥ Breadth = 5x

❥ Area = 120m^2

$\small{ \boxed{ \sf{ \purple{area \: of \: rectangle = l \times b}}}}$

$\large{ \sf{ \implies{ {120m}^{2} = 6x \times 5x}}}$

$\large{ \sf{ \implies{ {120m = 30x}}}}$

$\large{ \sf{ \implies{x = \frac{120}{30}m }}}$

$\large{ \sf{ \implies{x = 4m }}}$

$\small{ \sf{ \therefore{length = 6x = 6 \times 4 = 24m }}}$

$\small{ \sf{ \therefore{breadth = 5x = 5 \times 4 = 20m }}}$

$\large{ \underline{ \sf{Now :-}}}$

$\small{ \boxed{ \sf{ \purple{perimeter \: of \: rectangle = 2(l + b)}}}}$

$\large{ \sf{ \implies{2(24 + 20)m }}}$

$\large{ \sf{ \implies{(2 \times 44) m}}}$

$\large{ \sf{ \implies{88m}}}$

$\small{ \boxed{ \sf{ \therefore{perimeter = 88m}}}}$

__________________________

MARK BRAINLIEST ♡