Question:
Let S be the set of all points (x, y) in the x-y plane such that | x | + | y | ≤ 2 and | x | ≥ 1. Then, the area, in square units, of the region represented by S equals
Let S be the set of all points (x, y) in the x-y plane such that | x | + | y | ≤ 2 and | x | ≥ 1. Then, the area, in square units, of the region represented by S equals
Updated On: Oct 10, 2024
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The Correct Option is B
Solution and Explanation
The graph below depicts both expressions.
The desired area is equal to 4 × the area of the red triangle.
The area of the red triangle is calculated as 1/2 base multiplied by height, resulting in 1/2 square units.
Consequently, the required area is 4 × 1/2, which equals 2 square units.
The desired area is equal to 4 × the area of the red triangle.
The area of the red triangle is calculated as 1/2 base multiplied by height, resulting in 1/2 square units.
Consequently, the required area is 4 × 1/2, which equals 2 square units.
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