Annie is framing a photo with a length of 6 inches and a width of 4 inches. the distance from the edge of the photo to the edge of the frame is x inches. the combined area of the photo and frame is 63 square inches.

a) write a quadratic function to find the distance from the edge of the photo to the edge of the frame. you must show your work to receive credit.
b) what is the value of x? you must show your work to receive credit.
c) how wide are the photo and frame together? you must show your work to receive credit.

usatestprep

Part a) The quadratic function is

Part b) The value of x is

Part c) The photo and frame together are wide

Step-by-step explanation:

Part a) Write a quadratic function to find the distance from the edge of the photo to the edge of the frame

Let

x----> the distance from the edge of the photo to the edge of the frame

we know that

Part b) What is the value of x?

Solve the quadratic equation

The formula to solve a quadratic equation of the form

is equal to

in this problem

we have

so

substitute in the formula

 -----> the solution

Part c) How wide are the photo and frame together?

answer:   (s+1)(s+4)

step-by-step explanation:

factor s2+5s+4

s2+5s+4

=(s+1)(s+4)