   Chapter 8.2, Problem 35E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

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 =b×h

Calculation:

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

Let’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=18 ft, BC=FG=8 ft, DE=14 ft, and AH=30 ft.

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

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