Find the area of the figure below. A) 2040 cm² B) 2310 cm² C) 2220 cm² D) 2256 cm² E) 2400 cm²

Question

Quizplus · Accepted Answer

To find the area of the figure, we need to find the area of each rectangle and add them up. 
The top rectangle has dimensions of 12 cm by 6 cm, so its area is 12 cm x 6 cm = 72 cm^2. 
The middle rectangle has dimensions of 17 cm by 6 cm, so its area is 17 cm x 6 cm = 102 cm^2. 
The bottom rectangle has dimensions of 12 cm by 11 cm, so its area is 12 cm x 11 cm = 132 cm^2. 
Adding up these areas, we get a total area of 72 cm^2 + 102 cm^2 + 132 cm^2 = 306 cm^2. However, we need to subtract the area of the overlap between the middle and bottom rectangles. This overlap has dimensions of 5 cm by 6 cm, so its area is 5 cm x 6 cm = 30 cm^2. 
Subtracting this overlap from the total area, we get 306 cm^2 - 30 cm^2 = 276 cm^2. Therefore, the best choice is C, 2220 cm^2.

Find the Area of the Figure Below