Answer:
The area of shaded region is 45 square units.
Step-by-step explanation:
The length of the rectangle is 8 and the breadth is 6.
Area of rectangle is
\(A_R=l\times b\)
\(A_R=8\times 6=48\)
The area of rectangle is 48 square units.
Since the opposite sides of a rectangle are equal, therefore the legs of the right angled triangle are
\(l_1=8-5=3\)
\(l_2=6-4=2\)
The area of right angled triangle is
\(A_T=\frac{1}{2}\times l_1\times l_2\)
\(A_T=\frac{1}{2}\times 3\times 2=3\)
The area of triangle is 3 square units.
The area of shaded region is
\(A=A_R-A_L=48-3=45\)
Therefore the area of shaded region is 45 square units.
