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# What is the area of the triangle formed by lines 4x + 5y =20, 3y-4x=12

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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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