Perimeter is found by multiplying the length by 2 and adding it to the width multiplied by 2.
The formula is P = 2L + 2W
The length is 2m more than the width, which would be written as W +2
Now the formula is P = 2(W+2) + 2W
Replace P with the given perimeter and solve:
48 = 2(W+2) +2W
Simplify:
48 = 2W +4 + 2W
48 = 4W +4
Subtract 4 from both sides:
44 = 4W
Divide both sides by 4:
W = 11
Now you have the width solve for the length.
Length = Width +2 = 11 + 2 = 13
Check: 2(11) + 2(13) = 22 + 26 = 48
This works out to be true.
Length = 13 m
Width = 11 m
