Question : What is the area of the region bounded by a straight line $9x+4y=36$, x-axis and the y-axis?
Option 1: 12 sq. units
Option 2: 18 sq. units
Option 3: 16 sq. units
Option 4: 15 sq. units
Answer (1)
26th Jan, 2024
Correct Answer: 18 sq. units
Solution :
$9x+4y=36$ can be written as
$\frac{9x+4y}{36}=1$
$⇒\frac{x}{4} + \frac{y}{9} = 1$
$\therefore$ Area = $\frac{1}{2}\times OA\times OB=\frac{1}{2}\times 4 \times 9$ = 18 sq. units
Hence, the correct answer is 18 sq. units.
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