Answer:
Width = 34 cm
Length = 81 cm
Step-by-step explanation:
Let length be l and width be w
Let perimeter be p or p = 2(l+w)
The length of the rectangular box is 21 centimeters less than triple the width:
This means
l = 3w - 21
Also, perimeter is 230, so
2(l+w) = 230
or
l+w = 115
Putting equation 1 in this equation, we get:
l+w=115
(3w - 21)+w=115
Solving:
[tex](3w - 21)+w=115\\4w=136\\w=34[/tex]
To find length:
l = 3w - 21
l = 3(34) - 21
l = 81
Hence
Width = 34 cm
Length = 81 cm
