PLEASE HELP ASAP

Patricia has a square-shaped photo of her soccer team that she plans to give to her coach. She decides to put the photo in a rectangular frame that is 15 centimeters longer than the length of the picture. This will leave enough space beneath the photo for Patricia's teammates to sign their names.
The area of the framed picture is given by the quadratic expression below, where x represents the side length, in centimeters, of the photo.

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parmesanchilliwack parmesanchilliwack · Answer 1 · 2019-02-25T06:06:39+01:00

Answer: In the expression , [tex]x^2+15x[/tex]

The area of the photo = [tex]x^2[/tex] ( the second degree term, of the expression [tex]x^2+15x[/tex] )

The area of the frame around the picture = 15x ( the first degree term of the expression )

The length of the frame = x + 15 cm, ( the binomial, (x+15), a factor of expression [tex]x^2+15x[/tex] )

The length of the photo = x, ( the monomial, x, a factor of expression [tex]x^2+15x[/tex] )

Step-by-step explanation:

Here x represents the length of the photo,

While the length of the frame is 15 more than that of photo,

⇒ Length of the frame = (x+15) cm,

Since, the photo is of square shape,

⇒ Area of the photo = [tex]x^2[/tex] square cm

Also, the breadth of the frame = x cm,

And, frame is of rectangular shape,

⇒ Area of the frame = (x+15)×x = [tex]x^2+15x[/tex] square cm

Also, the length of the fram around the picture = 15 cm

And, the breadth of that area = x cm

⇒ The area of the frame around the picture = 15x square cm