Answer:
The width is 7 meters and the length is 13 meters
Step-by-step explanation:
The perimeter of a rectangle sandpit is 40 meters.
Let the width be w units, then the length which is 1 meter less than twice it’s width becomes: [tex]l=2w-1[/tex]
The perimeter of a rectangle is given by:
[tex]P=2(w+l)[/tex]
We substitute P=40 and the length in term of w to get:
[tex]40=2(w+2w-1)[/tex]
We simplify to get:
[tex]40=2(3w-1)[/tex]
Divide through by 2 to get:
[tex]20=3w-1\\\implies 21=3w\\\implies w=\frac{21}{3}=7[/tex]
Hence [tex]l=2(7)-1=14-1=13[/tex]
