Answer:
Length = 45 m
Width = 185 m
Step-by-step explanation:
Given:
Perimeter of rectangular rug = 460 m
width of the rug is five meters more than 4 times the length
To find:
Width and length of rug = ?
Solution:
Let the length = [tex]l[/tex] m
As per given statement,
Width = [tex]4l+5[/tex] m
Formula for perimeter of a rectangle = [tex]2\times (Length +Width)[/tex]
[tex]460=2\times (l+4l+5)\\\Rightarrow 230 = 5l+5\\\Rightarrow l = \dfrac{225}{5} = 45\ m[/tex]
Width = [tex]4l+5[/tex] m
Width = [tex]4\times 45+5 = 185\ m[/tex]
So, the answer is:
Length = 45 m
Width = 185 m
