# The ratio of lengh and breadth of a rectangle is 5:3 . if the perimeter is 64cm,find the length and breadth of a rectangle?

2
by rim1

2015-11-07T21:13:23+05:30

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given,
length = 5x

perimeter = 64 cm
therefore ,
perimeter = 2 ( l + b )
64 = 2 ( 5x + 3x )
64 = 2 ( 8x )
64 = 16x
64 /16 = x
4 = x
therefore,
value of length = 5x = 5 * 4 = 20 cm

value of breadth = 3x = 3 * 4 = 12 cm

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2015-11-07T21:20:22+05:30

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Let the length and breadth in the ratios be 5x  and 3 x.

We know that ,
Perimeter of rectangle = 2 × ( length + breadth )
⇒ 64 = 2 × ( 5x + 3x )
⇒64  = 2 × ( 8 x )
⇒ 64 = 16 x
⇒ 4 = x

Therefore ,

length ⇒ 5 × x
⇒ 5 × 4
⇒ 20 cm.

and ,
breadth ⇒ 3 × x
⇒ 3 × 4
⇒ 12 cm.

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