Question

The sides of the rectangle are in the ratio 7 :5and its perimeter is 96cm. Find the length of the rectangle

Answer 1

let the length be 7x and breadth be 5x

as we know, perimeter of rectangle = 2( l + b )
A/Q , 96 = 2 ( 7x + 5x )
=> 96 = 2 ( 12x)
=> 96 = 24x
=> x = 96/24 = 4

so, l = 7x = 7*4 = 28cm
b = 5x = 5*4 = 20cm


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Answer 2

HEY MATE HERE IS UR ANSWER

GIVEN THAT THE SIDES OF RECTANGLE ARE IN RATIO OF 7:5 AND PERIMETER IS EQUAL TO 96 CM


SOLUTIONS

LET THE LENGTH OF RECTANGLE = 7x

AND

BREADTH OF RECTANGLE = 5x

SO ITS GIVEN THAT THE PERIMETER OF RECTANGLE = 96 CM

SO NOW WE KNOW THAT PERIMETER OF RECTANGLE ( formula) is

$2(length + breadth)$

NOW PUTTING VALUES OF

LENGTH = 7x

AND

BREADTH = 5x

SO WE HAVE

$2(7x + 5x) \: = 96cm$

THAT IS

$2(12x) = 96cm$

$24x = 96cm$


THEREFORE

$x = \frac{96}{24} = 4cm$
THEREFORE

LENGTH OF RECTANGLE = 7x = 7 × 4 = 28cm

AND

BREADTH = 5x = 5×4 = 20 cm


HENCE THE ANSWER IS

LENGTH = 28cm

& BREADTH = 20cm


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