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Brent is designing a poster that has an area of 1 sq.ft. He is going to paste a photo collage on a section of the poster that is 1⁄3 foot wide and 3⁄5 foot long. ​What part of a square foot will the photo collage cover?

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Respuesta :

Answer:54 th

Step-by-step explanation:

Given

Poster has an area of [tex]A=1\ ft^2[/tex]

Size of photo is [tex]\frac{1}{3}\ ft\times \frac{3}{5}\ ft[/tex]

and we know

[tex]1\ ft\ \text{is equal to}\ 0.3048\ m[/tex]

so [tex]\frac{1}{3}\ ft[/tex] is [tex]0.1016\ m[/tex]

[tex]\frac{3}{5}\ ft[/tex] is [tex]0.1828\ m[/tex]

So area of photo is  

[tex]a=0.1016\times 0.1828[/tex]

[tex]a=0.01858\ m^2[/tex]

ratio of area of photo and poster is

[tex]\Rightarrow \frac{a}{A}=\frac{0.01858}{1}\approx \frac{1}{53.819}\approx \frac{1}{54}[/tex]

So photo will acquire [tex]54^{th}[/tex] Part of poster