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Re: What is the area of the triangle formed by lines 4x + 5y =20, 3y-4x=12 [#permalink]
Expert Reply
Given
    • Three lines,
      o 4x+5y=20
      o 3y−4x=12
      o x−axis
To Find

    • Area of the triangle formed by these lines.

Approach and Working Out

    • 4x+5y=20
      o \(\frac{x}{5}\) + \(\frac{y}{4}\) = 1
    • 3y−4x=12
      o \(\frac{y}{4}\) – \(\frac{x}{3}\) = 1
    • y = 0

    • Area of the triangle formed = ½ × height × base

      =\(\frac{1}{2}\) × 4 × 8
      = 16
Correct Answer: Option C
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Re: What is the area of the triangle formed by lines 4x + 5y =20, 3y-4x=12 [#permalink]
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Re: What is the area of the triangle formed by lines 4x + 5y =20, 3y-4x=12 [#permalink]
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