Answer:
Given that,
Right triangle is moved from a rectangle
To find the area of the remaining region of the rectangle
Area of remaining region of the rectangle is,
[tex]=\text{Area of the rectangle-Area of the right triangle}[/tex]
Length of the rectangle (l)=8m
Breadth of the rectangle (b)=7m
Area of the rectangle is,
[tex]=l\times b[/tex][tex]=8\times7=56m^2[/tex]
Base of the right triangle=2m
Height of the right triangle=3m
Area of the right triangle is,
[tex]=\frac{1}{2}\times b\times h=\frac{1}{2}\times2\times3=3m^2[/tex]
Area of the required shaded region is
[tex]\begin{gathered} =(56-3)m^2 \\ =53m^2 \end{gathered}[/tex]
Area of the required shaded region is 53 sq.m.
