A square has a one-inch frame. If the area of the frame alone is 48 square inches, what is the area of the picture?

121 sq. in

Step-by-step explanation:

area of the frame = 48 square inches

if is the side length of the square, then ( + 2) is the side length of the square after the frame has been added. 

the area of the picture + the frame is:

( + 2) ( + 2)  

the area of just the frame is given by ( + 2) ( + 2) - x :

( + 2) ( + 2) - x =48

²+ x 2 + 2 x + 2 x 2-² = 48

² + 2 + 2 + 4-² = 48

4 + 4 = 48

then subtract 4 from both sides:

4x = 44

and divide both sides by 4:

x = 11

the area of the square is 11 (11) = 121.

i think this is correct?

hope this helps :))

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