Arectangle of perimeter 74 cm is 7cm longer than it is wide. what is the length of each side?

I assume that you mean: the length is 7cm more than the width, and the perimeter is 74 cm.

If so, we can write down the following system, where l and w represent, respectively, the length and the width:

We can easily solve the second equation:

And finally solve for the length:

12

Step-by-step explanation:

Step 1:

5 ( x - 6 ) = 2 ( x + 3 )      Equation

Step 2:

5x - 30 = 2x + 6      Multiply

Step 3:

3x - 30 = 6     Subtract 2x on both sides

Step 4:

3x = 36        Add 30 on both sides

Step 5:

x = 36 ÷ 3     Divide

x = 12

Hope This Helps :)