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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

Respuesta :

merlynthewhizz
The pet shop sign is modelled as a square. The area of the square is given as [tex] 16x^{2}-40x+25 [/tex].

Technically we want to take a square root of this expression to find the length of one side of the square but we will check first whether factorising will give us equal roots

[tex] 16x^{2}-40x+25 [/tex]
[tex]16 x^{2} -20x-20x+25[/tex]
[tex]4x(4x-5)-5(4x-5)[/tex]
[tex](4x-5)(4x-5)[/tex]

As we see that by factorising gives us [tex] (4x-5)^{2} [/tex] hence the side length of the square is [tex]4x-5[/tex]
somaya33

correct answer is

B)4x – 5

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