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Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches.


What is the side length, in inches, of the pet shop sign?

4x + 5
4x – 5
8x + 5
8x – 5

Candy draws a square design with a side length of x inches for the window at the pet shop She takes the design to the printer and asks for a sign that has an ar class=

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chloe9232003

Answer:

This is late, but for anyone else that needs it, it's B. 4x-5

Answer:

B. [tex](4x-5)[/tex]

Step-by-step explanation:

We are given that,

Area of the square design = [tex]16x^2 -40x + 25[/tex] inch²

Factorizing the polynomial, we see that,

[tex]16x^2 -40x + 25=0[/tex]

implies [tex](4x-5)^2=0[/tex]

So, the factors of the polynomial are  [tex](4x-5)[/tex] and [tex](4x-5)[/tex]

That is, [tex]16x^2 -40x + 25=0[/tex] = [tex](4x-5)^2=0[/tex].

Thus, we have,

Area of the square design = [tex]16x^2 -40x + 25[/tex] = [tex](4x-5)^2[/tex]

As, Area of a square = [tex]Side^2[/tex]

Hence, on comparing the sides of the square design are [tex](4x-5)[/tex].

So, option B is correct.

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