Answer:
Length = 24 inches
Width = 4 inches
Step-by-step explanation:
L = Length, W = Width
A rectangle has 4 sides, 2 Length and 2 Width
2L + 2W = 56 inches ------EQ. 1
Also, we are given ratio of 6:1, which means that the Length is 6 times the size of the Width
OR
L= 6W -----EQ. 2
We can now insert this value of "L" into EQ. 1
2(6W) + 2W = 56
12W + 2W = 56
14W = 56
W = 4
Now reinsert our W value into EQ. 2
L = 6(4)
L = 24
Lets test our values to see if they match the given perimeter value:
Perimeter = Length + Length + Width + Width
Perimeter = 24 + 24 + 4 + 4
Perimeter = 56
Also,
L / W = Ratio
24 / 4 = 6 / 1
