Given ratio of sides is 3:4.
Let one side be 3 , then other side would be 4
Therefore, total perimeter = 3 + 4 + 3 + 4 = 14
Here our perimeter is less than the required perimeter by 15-14 = 1
Step-1: using circle(centre B, radius BC) extend the base with side length (BC) as shown below
Step-2: take any slant line below base which will have a more length of 0.5cm than the base length(AE). ( here the extra length is half the difference between required perimeter and present perimeter)
Step-3: now join EG and draw a parallel line to EG through B. this meets AG at I.
Step-4: now take AI and IG as lengths of sides of required rectangle and form a rectangle as shown below:
Hence the bottom rectangle KJIA, is our required rectangle with perimeter 15.
Let ‘a’ and ‘b’ be the length and width of rectangle.
Then we know that perimeter will be 2(a + b)
Therefore, b = 4.286cm &
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