Question

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

Answer 1

Answer:

The area of the shaded triangular section is 72 square inches

Step-by-step 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

Answer 2

Answer:

72 square inches

Step-by-step 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