IDNLearn.com: Your reliable source for finding precise answers. Our experts provide timely and accurate responses to help you navigate any topic or issue with confidence.
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]