Respuesta :
Answer:the length of the rectangle is 100m
the width of the rectangle is 80m
Step-by-step explanation:
Let L represent the length of the rectangle.
Let W represent the width of the rectangle.
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + B)
The perimeter of a rectangle is 360m. This means that
2(L + B) = 360
L + B = 180 - - - - - - - - - -1
If it's length is decreased by 20%, its new length would be
L - 0.2L = 0.8L
it's breadth is increased by 25%, it means that the new breadth
B + 0.25B = 1.25B
Since the perimeter remains the same,
2(0.8L + 1.25B) = 360
0.8L + 1.25B = 180 - - - - - - - - -2
Substituting L = 180 - B into equation 2, it becomes
0.8(180 - B) + 1.25B = 180
144 - 0.8B + 1.25B = 180
- 0.8B + 1.25B = 180 - 144
0.45B = 36
B = 36/0.45 = 80
L = 180 - B = 180 - 80
L = 100
