Problem : To find the width of a rectangular painting ; Given : The length of the rectangular painting = 96 cms.(L) --- 1 The perimeter of the rectangular painting = 364 cms(P) ---2 Formula of the perimeter of a rectangle : P = 2 ( L + B) ----3 where P =perimeter of the rectangle L = length of the rectangle B = breadth of the rectangle Solution :
Substituting the value of 1 and 2 in formula 3, we get,
364cm =2 (96 cm + B) ;
ie 2(96cms +B) = 364 cm ;
solving we get, 96cms +B = (364/2)cms =182 cms;
B = 182 cms - 96cms = 86 cms
Ans :-
Therefore the breadth of the rectangular painting is 86cms.