Answer:
The width of the rectangle is 32cm and the length is 37cm.
Explanation:
- Let's call the width of the rectangle "w" and the length of the rectangle "l".
- We know that the perimeter of the rectangle is equal to 2 times the sum of the length and the width, or 2(w+l) = 74.We also know that the length is 5cm longer than the width, so we can set up the equation l = w + 5.
- We can substitute this expression for l in our first equation to get 2(w + (w + 5)) = 74.Combining like terms, we get 2w + 10 = 74.
- Dividing both sides by 2, we get w = 32.We can now use this value to find the length of the rectangle.
- Thus, the width of the rectangle is 32cm and the length is 37cm.