Question

How does the area of triangle RST compare to the area of triangle LMN? The area of △RST is 2 square units less than the area of △LMN. The area of △RST is equal to the area of △LMN. The area of △RST is 2 square units greater than the area of △LMN. The area of △RST is 4 square units greater than the area of △LMN.

Answer 1

Inscribe triangle RST in the square with dimensions 4×4, as shown in the figure. 

from the area of this square, 4*4=16, we remove the triangles with dimensions 
3×4, 2×1 and 2×4, whose side lengths are shown in the figure, and we are left with the area of triangle RST.


so $Area(RTS)=16- \frac{1}{2}*3*4- \frac{1}{2}*2*1- \frac{1}{2}*2*4=16-6-1-4=5$ units squared

similarly, 

$Area(LMN)=4*3- \frac{1}{2}*1*4- \frac{1}{2}*2*2- \frac{1}{2}*2*3=12-2-2-3=5$ units squared

Thus, the areas are equal.

Answer 2

The answer would be B