Question

find the area of a region bounded by x=4,x+y, and y=6 and coordinate axes​

Answer 1

Answer:

10 is the right answer.

Step-by-step explanation:

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Answer 2

The region circumscribed by x = 4, x + y = 6, and the coordinate axes has a total size of 16 unit square.

Detailed explanation:

The four boundaries of the area are x = 4, x + y = 6, x = 0, and y = 0.

Allow the line x + y = 6 to cross the x-axis at point B and the y-axis at point D.

B's coordinates are (4, 2)

D's coordinate is (0,6).

The point O stands for (0,0).

Line x = 4 crosses the x-axis at point A. (4,0).

The area of OABD is equal to the sum of the areas of OABC and BCD.

= 4 2 + 4 4 = 8 + 8 = 16 unit square for OA = AB + BC + CD.

Therefore, the region bordered by x = 4, x + y = 6, and coordinate axes has a total size of 16 unit square.

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