Question

The line 4x + 3y – 12 = 0 cuts the coordinate axes at A and B. The area of ΔOAB is ______.

Answer 1

The line 4x + 3y – 12 = 0 cuts the coordinate axes at A and B. The area of ΔOAB is 6 sq. units.

Explanation:

x-intercept (A): set y = 0

⇒ 4x – 12 = 0

⇒ x = 3

So A(3, 0).

y-intercept (B): set x = 0

⇒ 3y – 12 = 0 

⇒ y = 4

So B(0, 4).

Triangle OAB is right with legs 3 and 4, so area = `1/2 xx 3 xx 4` = 6 square units.