Question

5. Sara has a photo that is 5 inches by 7 inches. When she adds a frame

Answer 1

Answer:

  1 inch

Step-by-step explanation:

Factors of 63 are 7 and 9, each of which is 2 more than the dimensions of the photo. Sarah's frame is 1 inch wide.

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A 1-inch wide frame adds 2 inches to length and width.

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Solution using an equation

If you let w represent the width of the frame, the area of the framed photo is ...

  (5+2w)(7+2w) = 63

  4w^2 +24w -28 = 0 . . . . write in standard form

  w^2 +6w -7 = 0 . . . . . . . . divide by 4

  (w -1)(w +7) = 0 . . . . . . . . factor

The positive solution to this equation is w=1.

The width of the frame is 1 inch.