Squares to Rectangle
Squares
and
have side lengths of
and
respectively.
If a rectangle has a length of and has the same area as the blue shaded region, then what is the width of the rectangle?
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1 solution
Let w be the width of the rectangle.
( a + b ) w = a 2 − b 2
( a + b ) w = ( a − b ) ( a + b )
w = a − b