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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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Chapter
Section
BuyFindarrow_forward

Elementary Geometry For College St...

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

The roof of the house shown needs to be reshingled.

a) Considering that the front and back sections of the roof have equal areas, find the total area to be reshingled.

b) If roofing is sold in squares (each covering 100  ft 2 ), how many squares are needed to complete the work?

c) To remove old shingles and replace with new shingles costs $97.50 per square. What is the cost of reroofing?

To determine

a)

To find:

The total area of the roof of the house to be reshingled.

Explanation

Finding the area of the figure is followed by identifying the figure and find area with the suitable geometry formulae.

Calculation:

Given,

The total area of the roof(A)=(A1)Area of front roof+(A2)area of back roof

Front and back sections of the roof have equal areas.

Here,

A1=A2

A=A1+A1

A=2A1

Length of the rectangular

Front roof is l=60ft and by the figure BC is the width (w) of the rectangular front roof

Find width of the rectangular front roof:

For triangle ABC,

BD is the median of the AC.

Then AC=AD+DC

Where,

AC=24ft and AD=DC

24=AD+AD

24=2AD

242=2AD2

12=AD

(i.e

To determine

b)

To find:

The number of squares are needed to complete the work.

To determine

c)

To find:

The cost of reroofing.

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