Final answer:
To find the possible areas of the box, we need to know the dimensions of the box. The perimeter of the box is given as 20 inches, which means the sum of all four sides of the box is 20 inches. We can use different combinations of length and width that satisfy the equation l + w = 10 to find the possible areas.
Step-by-step explanation:
To find the possible areas of the box, we need to know the dimensions of the box. The perimeter of the box is given as 20 inches, which means the sum of all four sides of the box is 20 inches. Let's assume the length of the box is 'l' and the width is 'w', then we can write the equation for the perimeter as: 2(l + w) = 20. Simplifying this equation, we get l + w = 10.
Now, we need to find the possible areas of the box. Since the perimeter equation only provides information about the sum of the dimensions, we can't determine the individual dimensions of the box. However, we can use different combinations of length and width that satisfy the equation l + w = 10.
For example, if we assume the length to be 6, then the width would be 4 (since 6 + 4 = 10). The area of the box would be 6 x 4 = 24 square inches. Similarly, if we assume the length to be 5, then the width would be 5 (since 5 + 5 = 10). The area of the box would be 5 x 5 = 25 square inches. Therefore, some possible areas of the box could be 24 square inches and 25 square inches.