Answer:
17cm ×7cm
Explanation:
Assuming that the airplane ticket is a rectangle,
let the length and the breadth of the ticket be L cm and B cm respectively.
LB= 119 -----(1)
2(L +B)= 48
L +B= 48 ÷2
L +B= 24 -----(2)
From (2):
L= 24 -B -----(3)
Substitute (3) into (1):
B(24 -B)= 119
24B -B²= 119 (expand)
B² -24B +119= 0
(B -17)(B -7)= 0 (factorise)
B -17= 0 or B -7= 0
B= 17 or B= 7
Substitute the values of B into (3):
L= 24 -17 or L= 24 -7
L= 7 or L= 17
∴ The dimensions of the airplane ticket is 17cm ×7cm.