Chapter 8.2, Problem 35E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# Find the area of the room whose floor plan is shown.

To determine

To Find:

Area of the room provided the floor plan.

Explanation

Formula Used:

Split the octagon into two rectangles and find the corresponding areas and then sum it up.

Area of rectangle =bÃ—h

Calculation:

Let the vertices of the provided octagon be A,Â B,C,Â D,Â E,Â F,Â G and H.

Letâ€™s divide the octagon into two rectangles. Draw a line CF the point C to F.

Here ABGH and CDEF both forms rectangles.

It is given that AB=18Â ft,Â BC=FG=8Â ft, DE=14Â ft, and AH=30Â ft.

Since the total height of the octagon is 24Â ft and AB=18Â ft, CD must be 24-18=6Â ft

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