Final answer:
Jeff will enlarge a photograph by a scale factor of 5, leading to enlarged dimensions of 40 inches by 50 inches. The area of the poster will be 2000 square inches.
Step-by-step explanation:
To determine the area of the poster that Jeff will create by enlarging a photograph, we must calculate the enlarged dimensions and then find the area of the resulting rectangle. The photograph is originally 8 inches wide and 10 inches long. Jeff is enlarging the photograph by a scale factor of 5, which means each dimension will be multiplied by 5.
The enlarged width will be 8 inches × 5 = 40 inches and the enlarged length will be 10 inches × 5 = 50 inches. To find the area of the poster, we multiply the length by the width:
Area = length × width
= 50 inches × 40 inches
= 2000 square inches.
Therefore, the area of the poster will be 2000 square inches.