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

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

Answer 2

B.
`(4x-5)`

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.