Find the area of the figure. A) 2,500 cm ² B) 6,400 cm ² C) 5,500 cm ² D) 5,950 cm ² E) 1,600 cm ²

Question

Quizplus · Accepted Answer

To find the area of the figure, we need to split it into two rectangles. The first rectangle has dimensions 10 cm by 5 cm, so its area is 50 cm^2. The second rectangle has dimensions 11 cm by 10 cm, so its area is 110 cm^2. Adding these areas together gives us a total area of 160 cm^2. However, we need to subtract the overlapping triangle, which has a base of 5 cm and a height of 6 cm, so its area is (1/2)(5)(6) = 15 cm^2. Therefore, the total area of the figure is 160 - 15 = 145 cm^2. The only answer choice that is close to this is C, 5,500 cm^2.

Find the Area of the Figure