The area bounded by lines x=0,y=0,x+y=1, 2x+3y=6 is (in square units)
Answers
Answer:
Hey there, here is the solution.
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x = 0, y =0, 2x - 3y = 12
STEP 1: Find the coordinates when x = 0
2x - 3y = 12
2(0) - 3y = 12
-3y = 12
y = -4
The coordinate is (0, -4)
⇒ The height of the triangle is 4 units
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STEP 2: Find the coordinate when y = 0
2x - 3y = 12
2x - 3(0) = 12
2x = 12
x = 6
The coordinate is (6, 0)
⇒ The base of the triangle is 6 units long.
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STEP 3: Find the area of the triangle bounded by these 3 lines:
Area = 1/2 x base x height
Area = 1/2 x 6 x 4
Area = 12 units²
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Answer: The area is 12 units²
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