Question

The scale on the x-axis is $1:3$ and the scale on the y-axis is $1:2$. Hence, the area of $△PQR$ on the Cartesian plane in square units is

• A. $18$
• B. $24$
• C. $30$
• D. $36$

Answer 1

The correct option is A $18$

$ar\left(PQR\right)=\frac{1}{2}PQ\times MR$

As $PQ=2box=2\times 2=4$

[scale is $1:2$]

$mR=3box=3\times 3=9$

$ar\left(plane\right)=\frac{1}{2}\times 4\times 9=18$