Final answer:
To find the minimum length of a rectangle with a width of 8 cm that has an area of at least 150 cm2, we divide 150 cm2 by 8 cm, resulting in a length of at least 18.75 cm.
Step-by-step explanation:
To determine the length that would make the area of a rectangle at least 150 cm2 given that the width is 8 cm, we need to use the formula for the area of a rectangle which is Area = length × width. Since the width is 8 cm, the formula becomes 150 cm2 ≤ length × 8 cm. To solve for the length, we divide both sides of the inequality by 8 cm.
length ≥ 150 cm2 / 8 cm
When we calculate the division, we get:
length ≥ 18.75 cm
So, the length must be at least 18.75 cm to ensure the rectangle's area is at least 150 cm2.