Answer:
Length = 7 cm
Width = 2 cm
Step-by-step explanation:
Perimeter of rectangle = 18 cm
Let length of rectangle = [tex]l[/tex] cm
Let width of rectangle = [tex]w[/tex] cm
As per given statement, length is 3 cm more than the twice of its width:
Writing equation:
[tex]l = 2\times w +3 ....... (1)[/tex]
Formula for perimeter of a rectangle is given as:
[tex]P = 2 \times (Length + Width)[/tex]
OR
[tex]P = 2 \times (l + w)[/tex]
Putting values of P as given and [tex]l[/tex] by using equation (1):
[tex]18 = 2 \times (2w +3 + w)\\\Rightarrow \dfrac{18}2 = 3w +3 \\\Rightarrow 9 = 3w +3\\\Rightarrow 3w = 9 -3\\\Rightarrow w = \dfrac{6}{3}\\\Rightarrow w = 2\ cm[/tex]
Putting value of [tex]w[/tex] in equation (1):
[tex]l = 2\times 2 +3 \\\Rightarrow l = 4+3\\\Rightarrow l = 7\ cm[/tex]
So, the dimensions are:
Length = 7 cm
Width = 2 cm
