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# Simon Factoring Question! - PLZ Help!

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Megan is jealous of her older sister's $$a$$ x $$b$$ inch Zac Efron poster, so she cuts out a rectangle around his face, which has dimensions  $$\frac{a}{2}-2$$ by $$\frac{b}{3} - 5$$, and steals it. Megan's older sister decides she's over Zac Efron anyways, and uses the rest of the paper as wrapping paper. She wraps an $$11$$ -inch cube, wasting no paper, and has $$3$$ square inches leftover. If $$a$$ and $$b$$ are integers and $$b > a$$, and the difference between the length and width of the poster is less than $$50$$, find the dimensions of the poster. Express your answer as the ordered pair $$(a, b)$$.

Dec 14, 2020

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