If you have been asked to find the length of the longer side of a rectangle with a perimeter of 146 units, don’t worry, it is not as complicated as it sounds. In fact, it can be solved quite easily by using a simple formula.

Firstly, it is important to understand what perimeter means. Perimeter is the distance around the outside of a shape. In the case of a rectangle, the perimeter is the sum of all four sides.

So, if we are given that the perimeter is 146 units, we can use the formula:

Perimeter = 2(length + width)

In this case, we are trying to find the length of the longer side, which is the same as saying we are trying to find the length of one of the two equal sides in the rectangle. Let’s call this length “l”.

We can also assume that the width of the rectangle is “w”.

Using the formula for perimeter above, we can substitute in the values we know:

146 = 2(l + w)

Simplifying this equation, we can divide both sides by 2:

73 = l + w

Now, we know that the two sides of the rectangle are equal, so we can say that:

l = w

Substituting this into our equation above, we get:

73 = 2l

Simplifying further, we can divide both sides by 2:

36.5 = l

Therefore, the length of the longer side (which we have called “l”) is 36.5 units.

In summary, finding the length of the longer side of a rectangle with a perimeter of 146 units can be done easily by using the formula for perimeter and some basic algebra.