Question

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

Answer 1

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:

$Area=\dfrac{1}{2}\times b\times h\\\\\\Area=\dfrac{1}{2}\times 9\times 16\\\\Area=72\text{square\ inches}$

Hence, the area of shaded region is:

72 square inches.

Answer 2

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