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2 years ago

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

Mathematics

1 answer:

stiv31 [10]2 years ago

5 0

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.

_____

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

_____

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.

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