1) the width of a rectangle is 33 centimeters. the perimeter is at least 776 centimeters. write an inequality to find the length of the rectangle.

a. 33+ L≤ 776
b. 33+L≥776
c. 2(33)+2L≤776
d. 2(33)+2L≥776

D

Right.

Well, isn't this rectangle up to some mischief? Trying to hide its length from us! Let's solve this puzzle.

To find the length of the rectangle, we need to consider the perimeter, which is the total distance around the shape. We know that the width is 33 centimeters, which means there are two sides of length 33 centimeters in the rectangle.

Let's call the length of the rectangle L (because it's too shy to reveal itself). For the perimeter, we add up the lengths of all four sides. So, the perimeter of this teasing rectangle is:

Perimeter = 33 + 33 + L + L

To find the minimum perimeter of 776 centimeters, we can set up an inequality:

Perimeter ≥ 776

And if we substitute the expression for the perimeter, we get:

33 + 33 + L + L ≥ 776

Simplifying this, we get:

2(33) + 2L ≥ 776

So, the correct inequality to find the length of the rectangle is option d: 2(33) + 2L ≥ 776.

Now, let's go catch that sneaky length and solve the inequality!

The correct answer is d. 2(33) + 2L ≥ 776

Explanation: The perimeter of a rectangle is the sum of all its sides. In this case, the width is 33 centimeters, so one side of the rectangle is 33 cm. The length of the rectangle is denoted by L. To find the perimeter, we add the width (33 cm) to twice the length (2L). The inequality is given as "at least 776 centimeters," so we use the greater than or equal to sign (≥).

Therefore, the correct inequality to find the length of the rectangle is 2(33) + 2L ≥ 776.

To find the correct inequality to determine the length of the rectangle, we need to understand the formula for the perimeter of a rectangle.

The formula for the perimeter of a rectangle is given by the equation P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.

In this case, we know that the width of the rectangle is 33 centimeters, so we can substitute W = 33 into the formula:

P = 2L + 2(33)

Since the problem states that the perimeter is at least 776 centimeters, we can write the inequality as:

2L + 2(33) ≥ 776

Simplifying the inequality:

2L + 66 ≥ 776

Combining like terms:

2L ≥ 776 - 66

2L ≥ 710

Dividing both sides by 2:

L ≥ 355

Therefore, the correct inequality to find the length of the rectangle is:

b. 33 + L ≥ 776