Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
Sagot :
we know that
The scale factor is equal to [tex]2\frac{1}{2}[/tex]
Step 1
Convert mixed number to an improper fractions
[tex]8\frac{1}{2}\ inches=\frac{8*2+1}{2} =\frac{17}{2}\ inches[/tex]
[tex]2\frac{1}{2}=\frac{2*2+1}{2} =\frac{5}{2}[/tex]
Step 2
Increasing each dimension by the scale factor
[tex]\frac{17}{2}*\frac{5}{2}=\frac{85}{4}\ inches[/tex]
[tex]11*\frac{5}{2}=\frac{55}{2}\ inches[/tex]
Step 3
Find the area of the new poster
we know that
the area of the poster is equal to find the area of a rectangle
[tex]A=\frac{85}{4}*\frac{55}{2}=\frac{4,675}{8}\ inches^{2}[/tex]
[tex]A=584.375\ inches^{2}[/tex]
convert to mixed number
[tex]A=(584+0.375)\ inches^{2}[/tex]
[tex]A=(584+\frac{3}{8})\ inches^{2}[/tex]
[tex]A=584\frac{3}{8}\ inches^{2}[/tex]
therefore
the answer is
The area of the new poster is [tex]584\frac{3}{8}\ inches^{2}[/tex]
Alternative Method
Let
A1--------> area of the original poster
A2------> area of the new poster
sf-------> scale factor
we know that
[tex]A2=A1*(sf)^{2}[/tex]
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.