Find the Area of the shaded region defined by the following system of equations?
回答 (1)
2018-01-17 10:05 am
The diagram shows the shaded area.
The lines x = 0 and y = x + 2 meet at (0, 2).
The lines y = x + 2 and y = -x + 6 meet at (2, 4).
The lines y = -x + 6 and x = 5 meet at (5, 1)
The lines y = -x + 6 and y = 0 meet at (5, 0)
Shaded area
= Sum of the areas of the two trapeziums
= (1/2) × (2 + 4) × 2 + (1/2) × (1 + 4) × (5 - 2)
= 13.5 (sq. units)
The lines x = 0 and y = x + 2 meet at (0, 2).
The lines y = x + 2 and y = -x + 6 meet at (2, 4).
The lines y = -x + 6 and x = 5 meet at (5, 1)
The lines y = -x + 6 and y = 0 meet at (5, 0)
Shaded area
= Sum of the areas of the two trapeziums
= (1/2) × (2 + 4) × 2 + (1/2) × (1 + 4) × (5 - 2)
= 13.5 (sq. units)
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