Answer:
Length = 22 inches, Width = 5 inches
Step-by-step explanation:
Let P represent the Perimeter, L , the length and W, the width
Perimeter of a rectangle, P = 2 (L + W) ....eq 1
from the question;
L = 2 + 4W .....eq 2
Slotting in the respective values of P and L in eq 1
54 = 2{(2 + 4W) + W}
Expanding the bracket
54 = 2(2 + 5W)
54 = 4 + 10W
Subtracting 4 from both sides of the equation
54 - 4 = 10 W
50 = 10W
Dividing both sides by the coefficient of W which is 10
5 = W
Therefore, W = 5 inches
Slotting in the value of W in eq 2
L = 2 + 4(5)
L = 2 + 20
L = 22 inches
Now lets check our answers by slotting in the values of P, L and W in eq 1
54 = 2 (22 + 5)
54 = 2 (27)
54 = 54
Since both sides of the equation are equal, the values of L and W are correct
Hence Length = 22 inches, Width = 5 inches
