The length of a rectangle is 11 cm more than the width. The perimeter is 90 cm. Find the length and width of the rectangle.

To find the length and width of the rectangle, we can set up two equations based on the given information.

Let's assume the width of the rectangle is "w" cm.

According to the problem, the length of the rectangle is 11 cm more than the width. So, the length would be "w + 11" cm.

The perimeter of a rectangle can be calculated by adding all four sides together. In this case, the formula for the perimeter is:

Perimeter = 2 * (length + width)

Substituting the given values, we can write the equation:

90 = 2 * (w + (w + 11))

Now, let's solve the equation to find the value of "w" (width):

90 = 2 * (2w + 11)
90 = 4w + 22
4w = 90 - 22
4w = 68
w = 68/4
w = 17

Therefore, the width of the rectangle is 17 cm.

To find the length, we can substitute the value of "w" back into the equation:

Length = w + 11 = 17 + 11 = 28 cm

Hence, the length of the rectangle is 28 cm and the width is 17 cm.

width: w

length: w+11
so,

2(w + w+11) = 90
Now just solve for w, and figure the length.