Question

length and breadth of a rectangular field are in the ratio 5:4 . If it's perimeter is 108m , find the Dimensions . ​

Answer 1

Answer:

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Step-by-step explanation:

l : b = 5 : 4

l = 5k          b = 4k

2(5k + 4k) = 108

9k = 54

k = 6

l = 30m

b = 24m

Answer 2

Step-by-step explanation: let the length and breadth of the rectangle be 5x and 4x repectively {since length and breadth are in ratio 5:4}

Now,

According to the question,

2×(5x+4x)=108cm {since perimeterof the rectangle =2(length+breadth)

Which is given 108cm}

Or, 2×(9x)= 108 cm

Or 9x=108cm/2

Or 9x=54cm

Or x=54cm/9

Therefore x=6cm

Now length is 5x=5×6cm

=30cm

And breadth is 4x=4x6cm

=24 cm

Therefore length and breadth of the rectangle is 30cm and 24cm respectively.

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