Final answer:
The length is 66 cm and the width is 14 cm.
Step-by-step explanation:
To find the length and width of the rectangular shape, we can use the given information. Let's assume the width as 'w', then the length would be 5w - 4 cm, based on the given condition.
The perimeter of a rectangle can be calculated by adding the lengths of all four sides. If we replace the length and width in the perimeter formula, we get: 2(5w - 4) + 2w = 160 cm.
Simplifying this equation, we get: 10w - 8 + 2w = 160. Combining like terms, we get: 12w - 8 = 160. Adding 8 to both sides, we get: 12w = 168. Lastly, dividing both sides by 12, we find that w = 14.
Substituting this value of 'w' back into the length equation, we find the length = 5(14) - 4 = 66 cm.