Answer:
Length = 18cm; Width = 5 cm
Explanation:
This is just a simple substitution problem. You got this =)
Width = x
Length = 3x + 3
Perimeter = 46
Write the formula for perimeter:
P = 2L + 2W
Substitute known values:
46 = 2(x) + 2(3x + 3)
Use the distributive property:
46 = 2x + 6x + 6
Combine like terms:
46 = 8x + 6
Subtract 6 from both sides:
40 = 8x
Divide both sides by 8:
5 = x
Now substitute x for each value:
Width = x
Width = 5
Length = 3x + 3
Length = 3(5) + 3
Length = 15 + 3
Length = 18
I really hope this helps you =)