The perimeter of the rectangle is known-126, the length is 6 times the width, what is the area?

1. Let the width of the rectangle be a, then its length is 6a. Let’s make the equation for the perimeter by adding twice the width and length:
2a + 2 * 6a = 126,
2a + 12a = 126,
14a = 126,
a = 126/14,
a = 9.
2. Let’s calculate the length:
6 * 9 = 54.
3. Let’s calculate the area as the product of length and width:
54 * 9 = 486.
Answer: the rectangle has an area of 486 units2.