The width of the rectangle is 6 cm less than its length and its pyrimeter = 88 cm. Find the length and width of this rectangle.

Let’s denote the width of the rectangle by the letter X. Then its length will be equal to X + 6, since it is 6 cm more than the width. As you know, the perimeter of a rectangle is equal to the sum of twice the width and twice the length. Accordingly, we can write the following expression:

2 x X + 2 x (X + 6) = 88;

4 x X + 12 = 88;

4 x X = 76;

X = 19 (cm).

We found the width. Now we can easily find the length of this rectangle:

19 + 6 = 25 (cm).

Answer: The length of the rectangle is 25 cm and the width is 19 cm.