Final answer:
To determine if a rectangle with a width of w and a length of l has a perimeter greater than 100, we can use the formula for the perimeter of a rectangle, which is P = 2w + 2l. We need to solve the inequality 2w + 2l > 100 to find the answer.
Step-by-step explanation:
To determine if a rectangle with a width of w and a length of l has a perimeter greater than 100, we can use the formula for the perimeter of a rectangle, which is P = 2w + 2l. We are given that the width is w and the length is l. We need to find if the perimeter is greater than 100. Thus, we can write the inequality 2w + 2l > 100.
Let's consider an example: if we know that w = 10 and l = 30, we can substitute these values into the inequality: 2(10) + 2(30) = 20 + 60 = 80. Since 80 is less than 100, we can conclude that the perimeter is not greater than 100.
Therefore, to determine if a rectangle with a width of w and a length of l has a perimeter greater than 100, we need to solve the inequality 2w + 2l > 100.