   Chapter A.3, Problem 14E 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

Two trim boards need to be used together to cover a 12-ft length along one wall. If Jim recalls that one board is more than 7 ft long, what length must the second board be to span the 12-ft length?

To determine

To find:

To find the length of the second board by using the given condition.

Explanation

Consider the following condition,

“Two trim boards need to be used together to cover a 12-ft length along one wall. If Jim recalls that one board is more than 7 ft long”.

Definition:

If a is less than b if and only if there is a positive number p for which

a+p=b;

a is greater than b if and only if b<a.

Let a and b be the first and second board respectively.

From the given condition Jim recalls that one board is more than 7 ft long.

That is a>7ft.

By using the above definition,

a=7+p

Also from the given condition two trim boards need to be used together to cover a 12-ft length along one wall

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