How to find the width of a rectangle if it is known that it is less than the length by 6 cm, and the perimeter is 60 cm.

1. Imagine that the width of the figure is equal to y, then the length will be equal to 6 + y cm. We write the equation for the perimeter of the figure, doubling the sum of the length and width, we get:
2 * (y + 6 + y) = 60.
Let’s solve the resulting equation. First, you need to simplify the left half:
2 * (2y + 6) = 60,
4y + 12 = 60.
Now let’s move the term 12 to the right side:
4y = 60 – 12,
4y = 48.
All that remains is to divide 48 by a factor of 4 to get the value of y:
y = 48/4,
y = 12.
2. Since the width has been found, we can find out the value of the length of the rectangle:
12 + 6 = 18 cm.
Answer: as a result, we got that the width of the figure is 12 cm.