Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

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If two rooms have an area of 160 square feet combined and the first room has a side that is 10 feet wide and another side that is 6 feet long, what is the perimeter of the second room?

  1. 40 ft

  2. 50 ft

  3. 60 ft

  4. 70 ft

The correct answer is: 40 ft

To determine the perimeter of the second room, we first need to calculate the area of the first room. Given that the first room has dimensions of 10 feet by 6 feet, we find the area by multiplying these two measurements: Area of the first room = width × length = 10 ft × 6 ft = 60 square feet. Next, we know the combined area of both rooms is 160 square feet. We can determine the area of the second room by subtracting the area of the first room from the combined area: Area of the second room = Combined area - Area of the first room Area of the second room = 160 sq ft - 60 sq ft = 100 square feet. Now, to calculate the perimeter of the second room, we need to know its dimensions. Let's assume that the second room is rectangular, with length \(L\) and width \(W\). The area of a rectangle is given by: Area = Length × Width. Based on the above formula, we have: 100 sq ft = L × W. However, to find the perimeter, we can use the formula for the perimeter of a rectangle: Perimeter = 2(Length + Width). When we look at possible

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