Answer:
Hence, the area of shaded region is:
72 square inches.
Step-by-step explanation:
We have to find the area of the shaded region i.e. we have to find the area of a triangle.
Clearly the shaded triangle is in the shape of a right triangle.
we will firstly find the dimension of the triangle in order to find it's area.
Clearly the base(b) of a triangle is 36/4= 9 inches.
( since the side of the rectangle of length 36 inches is divided into 4 equal parts)
similarly the height(h) of the right triangle is:
48/3=16 inches.
( since the side of rectangle of measure 48 inches is divided into 3 equal parts)
Hence, the area of triangle is calculated as:
[tex]Area=\dfrac{1}{2}\times b\times h\\\\\\Area=\dfrac{1}{2}\times 9\times 16\\\\Area=72\text{square\ inches}[/tex]
Hence, the area of shaded region is:
72 square inches.
