To find the rectangle's width given that its length is 6 cm and its area is greater than 78 cm², divide the area by the length. The width must be greater than 13 cm.
The student has been asked to find the width of a rectangle given its length and a condition that its area must be greater than 78 cm2. The length of the rectangle is given as 6 cm. To solve for the width (x), we use the formula for the area of a rectangle, Area = length × width. We are given that the area must be greater than 78 cm2, and so by substituting the known values into the formula, we have 6 × x > 78. Dividing both sides by 6 to solve for x, we find x > 13. Hence, the width of the rectangle must be greater than 13 cm for the area to be greater than 78 cm2.
In conclusion, the width of the rectangle (x) must be greater than 13 cm to satisfy the condition that the area of the rectangle is greater than 78 cm2.