Area of Composite Figure
Question 1
A math and science museum recently installed a door that features a stained glass topper as shown. What is the area of the topper?
Responses
A 2π
2π ft 2
B 4π
4π ft 2
C 12π
12π ft 2
D 16π
16π ft 2
Question 2
To the nearest tenth, what is the total area of the door with the topper?
Responses
A A = 38.3
A = 38.3 ft 2
B A = 48.6
A = 48.6 ft 2
C A = 72.3
A = 72.3 ft 2
D A = 78.4
A = 78.4 ft 2
Question 1: The area of the topper is 2π ft^2, so the answer is B) 2π ft^2.
Question 2: To find the total area of the door with the topper, we add the area of the rectangle and the area of the topper. The area of the rectangle is (5)(7) = 35 ft^2. Therefore, the total area is 35 + 2π = 35 + 6.28 ≈ 41.28 ft^2. Rounding to the nearest tenth, the answer is A) A = 41.3 ft^2.