Question

A rectangular stained glass window is made up of identical triangular parts as pictured below.

Answer 1

36/4=9 48/3=16 so 9*16=144/2=72 so it is 72 square inches

Answer 2

Hence, the area of shaded region is:

72 square inches.

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:

`Area=(1)/(2)* b* h\\\\\\Area=(1)/(2)* 9* 16\\\\Area=72\text{square\ inches}`

Hence, the area of shaded region is:

72 square inches.