Question

In the figure rectangle ABCD, what is the probability that a randomly chosen point that in ABCD lies inside the triangle ABE is

• A. $\frac{1}{15}$
• B. $\frac{1}{10}$
• C. $\frac{1}{5}$
• D. $\frac{1}{3}$

Answer 1

The correct option is B $\frac{1}{10}$

Length of $AE$ = $\sqrt{5^2-4^2}=3$
Required probability = $\frac{favourablearea}{totalarea}=\frac{AreaofABE}{AreaofABCD}=\frac{\frac{1}{2}\ast 4\ast 3}{4\ast 15}=\frac{1}{10}$