A rectangular picture is 6cm longer than it is wide. A frame 1cm wide is placed around the picture. The area covered by the pictures and frame together is 48cm ² greater than the area of the picture alone. Find the dimensions of the picture. Include a labelled diagram as part of your answer.
We will note picture's length and it's width (all in cm). Then we have two equations :
which gives
By solving this system (for example, we can first add these equations to find a, then find b from the first equation) we find
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