Question

the perimeter of a rectangle is 120 cm find the length and breadth of its sides if length is 3 times of its breadth

Answer 1

Answer:

length = 40 cm

breadth = 20 cm

Step-by-step explanation:

given that,

the perimeter of a rectangle is a 120 cm also,

given the ratio of its sides = 2:1

let the common ratio of their sides be x

SO,

length of the rectangule = 2x

hence

breadth = x

and

we know that

perumeter of a rectangle

= 2(length + breadth)

=

here.

length = 2x

breadth = x

given perimeter = 120 cm

putting the values,

2(2x + x) = 120

2x + x = 120/2

3x = 60

x = 60/3

x = 20

So,

breadth of the rectangle = x

= 20 cm

length of the rectangle = 2x = 2(20) = 40 cm

SO,

length = 40 cm breadth = 20 cm

Answer 2

Answer:

length=45cm and breadth=15cm

Step-by-step explanation:

$let \: the \: bredth = x \: \: length = 3x \\ \\ perimeter \: of \: rectangle = 2(length + breadth) \\ \: \: \: \: \: \: = 2(x + 3x) \\ \: \: \:120 = 8x \\ x = 15 \\ \\ breadth = 15 \: \: \: \: \: length = 45$

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