In a painting competition, a child made an Indian flag, whose perimeter was 40 cm, its area will increase by 4 cm, if the length is reduced by 2cm and the breadth is increased by 2cm. Find the dimension of the flag?
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Answer:
l = 12
b = 8
Step-by-step explanation:
perimeter was 40 cm,
2(l+b) = 40
2l+2b =40 ----(1)
area = l * b
lb+4 = (l-2)(b+2)
lb +4 = lb +2l-2b-4
4 = 2l-2b -4
8 = 2l-2b----(2)
equating 1 and 2,
2l+2b =40
2l-2b = 8
-------------------
4l = 48
l= 12 cm
substitute l = 12 in 1
2(12)+2b = 40
2b = 16
b = 8 cm
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