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Marcie wants to enclose her yard with a fence. Her yard is in the shape of a rectangle attached to a triangle. The formula for the area of the enclosed space is A = lw + 0.5bh. Solve for b. b = A divided by the quantity l times w plus 0.5 times h b = The quantity A minus l times w all divided by 0.5 times h b = A – lw – 0.5h b = A + lw + 0.5h
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\[A = lw +0.5bh\] subtract lw from both sides \[A - lw = 0.5bh\] Divide both sides by 0.5h \[A - lw / 0.5h = b\]
Both A - lw are over 0.5h
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