Find the inches of gold trim she needs to edge 10 flowers.
Answer to Problem 47SPR
449.75 inches.
Explanation of Solution
Given :
R created a pattern to sew flowers onto a quilt by first drawing a regular pentagon that was 3.5 inches long on each side.Then she added a semicircle onto each side of the pentagon to create the appearance of five petals.
Calculation:
For the gold trim that R needs , we need to find the total perimeter of the pentagons and semi-
In 1 flower pattern, there is 1 pentagon .
So, there are 5 sides of pentagon of 3.5 inches each and 5 semi-circles of diameter 3.5 inches each.
So, in 10 flower pattern,
there are
So, perimeter of pentagons in 10 flower patterns =
In 1 flower pattern , there are 5 semi-circles.
So, in 10 flower patterns, there are
Since , 2 semi-circles form 1 circle.
So, there are 25 circles in 10 flower patterns with diameter 3.5 inches each.
Hence, the perimeter of the semi-circles in 10 flower patterns is :
Hence, the gold trim she needs to edge 10 flowers =
Chapter 10 Solutions
Geometry, Student Edition
Additional Math Textbook Solutions
College Algebra
Essentials of Statistics, Books a la Carte Edition (5th Edition)
Linear Algebra and Its Applications (5th Edition)
Thinking Mathematically (7th Edition)
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning