The line \(5x+2y=20\) forms a triangle with the two coordinate axes. What is the area of this triangle?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 20 square units
The line meets the x-axis where \(y=0\) and the y-axis where \(x=0\). With the origin, these two points form a right triangle whose legs are the two intercepts.
x-intercept: \(5x=20\), so \(x=4\); the line meets the x-axis at \((4,\,0)\)
y-intercept: \(2y=20\), so \(y=10\); the line meets the y-axis at \((0,\,10)\)
Area \(\displaystyle =\frac{1}{2}\times4\times10=20\) square units
