Final answer:
To find the length and width of the rectangle, set up equations based on the given information. Solve the equations to find the length and width.
Step-by-step explanation:
To find the length and width of the rectangle, we need to set up equations based on the given information. Let's assume that the length of the rectangle is 'x' cm. According to the problem, the width is 5 more than the length, so the width can be represented as 'x + 5' cm. The formula for the perimeter of a rectangle is P = 2(length + width). We are given that the perimeter is 66 cm, so we can set up the equation:
66 = 2(x + (x + 5))
Simplifying this equation, we get:
66 = 2(2x + 5)
66 = 4x + 10
Subtracting 10 from both sides:
56 = 4x
Dividing both sides by 4:
x = 14
Therefore, the length of the rectangle is 14 cm, and the width is 14 + 5 = 19 cm.