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A client would like this logo printed onto a canvas that is at least 70 inches tall. The original logo is 4.5 inches wide by 3.6 inches tall. Which of the following dimensions will keep the logo in proportion and large enough to meet the clients requirements?

Sagot :

Answer:

87.5 by 70 inches

Step-by-step explanation:

No options were given. So, I will calculate the minimum width

Given

[tex]Original\ Logo = 4.5 : 3.6[/tex]

Height = 70 in ---- of the printed logo

Required

Determine the dimension that keeps the requirement

Let x be the width of the printed logo.

So, the ratio can be represented as:

[tex]Printed\ Logo = x : 70[/tex]

Equate both ratios

[tex]x : 70 = 4.5 : 3.6[/tex]

As fraction

[tex]x / 70 = 4.5 / 3.6[/tex]

Multiply through by 70

[tex]70 * x / 70 = 4.5 / 3.6* 70[/tex]

[tex]x = 87.5[/tex]

So, one of the dimension that meets the requirement is a width of 87.5 inches