In the adjoining figure, three equal squares are placed. The squares are unit squares The area of the shaded region in $$(incm^2)$$ is
Solution
Place the lower left square on coordinates from $$(0,0)$$ to $$(1,1)$$. The two slanted boundaries of the shaded triangle have equations $$y=2-2x$$ and $$y=\frac{x}{2}$$, so they intersect at $$\left(\frac{4}{5},\frac{2}{5}\right)$$. The shaded triangle has a vertical base of length $$2$$ and horizontal height $$\frac{4}{5}$$. Its area is $$\frac{1}{2}\cdot2\cdot\frac{4}{5}=\frac{4}{5}$$.
Get AI Help
Book Free CAT Mentorship
Get personalized CAT strategy from a 99%iler
500+ students mentored
OTP Verification
Enter the 6-digit code sent to your phone
Booking Summary
Enter OTP
Didn't receive the OTP?
