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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?
Answer:
the length of the sign is inches
Step-by-step 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