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?
Answer:
the length of the sign is
inches
Explanation:
Given
Area of the square of design =

First we find the roots of equation

The roots of the quadratic equation
are given by

where







That is, the factors of the polynomial
are
and
.
So, Area of the square design =
=

Area of a square = Length^2
Thus, the length of the sign is
inches