Question

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

36 inches
48 inches
What is the area of the shaded triangular section?
18 square inches
36 square inches
72 square inches
144 square inches

Answer 1

72 square inches

Explanation:

The image is shown below.

The area of a rectangle is length times width.

Length is 48 and width is 36

Hence, area of whole rectangle is:

Area = 48 * 36 = 1728

Now, the whole figure is broken down into

24 congruent triangles

So, each triangle's area is:

1728/24 = 72 square inches

The shaded region is ONE of the triangles, so the shaded region area is:

72 square inches

Answer 2

The area of the shaded triangular section is 72 square inches

Explanation:

The picture of the question in the attached figure

we know that

The rectangular stained glass can be divided into 24 identical triangular parts

step 1

Determine the area of complete rectangle

`A=(48)(36)=1,728\ in^2`

step 2

Divide the area of complete rectangle by 24

`1,728/24=72\ in^2`

therefore

The area of the shaded triangular section is 72 square inches