Answer :

Method -1:


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.


Method-2:


Let ‘a’ and ‘b’ be the length and width of rectangle.


Then given



Then we know that perimeter will be 2(a + b)







Therefore, b = 4.286cm &





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