## Two adjacent sides AB and BC of a parallelogram ABCD are in the ratio 5 : 3. If the perimeter is 200 cm, what is the length of AB and

Question

Two adjacent sides AB and BC of a parallelogram ABCD are in the ratio
5 : 3. If the perimeter is 200 cm, what is the length of AB and BC ?

a) 25cm and 50cm
b) 40cm and 37.5cm
c) 62.5cm and 37.5cm

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2 weeks 2021-09-09T03:54:26+00:00 2 Answers 0 views 0

c)62.5cm and 37.5cm.

Step-by-step explanation:

the ratio of parallelogram=5x:3x

perimeter of parallelogram=200cm

let the length of Parallelogram=5xcm

let the breadth of the parallelogram=3xcm

perimeter of parallelogram =2(L+B).

2(L+B)=200

2(5x+3x)=200

2(8x)= 200

16X=200

X=200/16

X=12.5

taking x in breadth and length

5x=5×12.5=62.5

3x=3×12.5=32.5

there fore length=62.5cm

the correct option is C

Step-by-step explanation:

let the ratio of parallelogram =x

=5x:3x

perimeter of parallelogram =2(L+B)

2(5x+3x)=200

2(8x)=200

16x=200

x=200/16

x=12.5

Putting value of x in length and breadth

5x=5×12.5=62.5

3x=3×12.5=37.5

So the length is 62.5cm and