Given:
Length = 2 × width
Perimeter = 42 cm
To find:
Length and width of the rectangle
Solution:
Length = 2 × width
[tex]l =2w[/tex]
Perimeter = [tex]2(l + w)[/tex]
[tex]2(l + w)=42[/tex]
[tex]2(2w + w)=42[/tex] ([tex]l =2w[/tex])
[tex]2(3w)=42[/tex]
[tex]6w=42[/tex]
Divide by 6 on both sides.
[tex]$\frac{6w}{6} =\frac{42}{6}[/tex]
w = 7
Substitute w = 7 in length.
[tex]l =2\times7[/tex]
l = 14
The length of the rectangle is 14 cm.
The width of the rectangle is 7 cm.
