Answer:
Original width = 9m and original length = 12m
Step-by-step explanation:
Let original width be [tex]w[/tex] and original length be [tex]l[/tex].
According to question statement:
[tex]l = 2 \times w -6 ...... (1)[/tex]
When 3m added to width, the resulting figure becomes square with area 144[tex]m^{2}[/tex], also area of a square = [tex]side^{2}[/tex]
[tex]\Rightarrow (w+3)^{2} = 144\\\Rightarrow (w+3) = 12\\\Rightarrow w = 9m[/tex]
Putting value of [tex]w[/tex] in equation (1):
[tex]\Rightarrow l = 2 \times 9 - 6\\\Rightarrow l = 12m[/tex]
Hence, original dimensions of rectangle are:
Length = 12m
Width = 9m
