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Ads galore makes posters with standard dimensions of 81/2 inches by 11 inches.
Both length and width of the poster may vary 1/20% according to the ads galore's regulations.
What is the smallest acceptable area of one poster, rounded to the nearest thousandth of square inch?

Respuesta :

taskmasters
Given:
poster standard dimension: 8 1/2 inches by 11 inches
length and width may vary 1/20 %

1/20 % convert in decimal form: 0.05% or 0.0005

Area = 8 1/2 inches * 11 inches = 93.5 sq. inches

Smallest acceptable area for one poster:

Width: 8.5 inches * (1 - 0.0005) = 8.49575
Length: 11 inches * (1 - 0.0005) = 10.9945

Area = 8.49575 * 10.9945 = 93.4065 or 93.407 sq. inches.

Smallest acceptable area of  posters made by ads galore with length and width vary 1/20% rounded to nearest thousandth of square inch is 93.407 squared inch.

What is area of rectangle?

Area of rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

[tex]A=a\times b[/tex]

Here, (a)is the length rectangle and (b) is the width of the rectangle

The length of the poster made by Ads galore is 81/2 inches and he width of the poster made by Ads galore is 11 inches.

Both length and width of the poster may vary 1/20%.

The area of the poster made by Ads galore with standard dimensions of 81/2 inches by 11 inches is,

[tex]A=\dfrac{81}{2}\times11\\A=445.5\rm in^2[/tex]

Now both length and width of the poster may vary 1/20%. For the smallest acceptable area of one poster the length and width of the poster should reduced with 1/20%.

Thus the new length of the poster is,

[tex]l=\dfrac{81}{2}-\dfrac{81}{2}\times \dfrac{1}{20\times100}\\l=8.49575\rm in[/tex]

The new width of the poster is,

[tex]w=11-11\times \dfrac{1}{20\times100}\\w=10.9945\rm in[/tex]

Thus the smallest acceptable area of one poster is,

[tex]A_s=8.49575\times10.9945\\A_s\cong93.407\rm in ^2[/tex]

Thus the smallest acceptable area of one poster, rounded to the nearest thousandth of square inch is 93.407 squared inch.

Learn more about the area of rectangle here;

https://brainly.com/question/11202023

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