Question

Find the area of the region bounded by x=0, y=0and 2x-3y=12

Answer 1

No the answer is wrong 6

Answer 2

$\textbf {Hey there, here is the solution.}$

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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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⭐$\textbf {Cheers}$⭐