Question

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

Answer 1

Answer:

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

Answer 2

Answer:

B. $(4x-5)$

Step-by-step explanation:

We are given that,

Area of the square design = $16x^2 -40x + 25$ inch²

Factorizing the polynomial, we see that,

$16x^2 -40x + 25=0$

implies $(4x-5)^2=0$

So, the factors of the polynomial are  $(4x-5)$ and $(4x-5)$

That is, $16x^2 -40x + 25=0$ = $(4x-5)^2=0$.

Thus, we have,

Area of the square design = $16x^2 -40x + 25$ = $(4x-5)^2$

As, Area of a square = $Side^2$

Hence, on comparing the sides of the square design are $(4x-5)$.

So, option B is correct.