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Final: Area, Modeled

Part of the Exponents & Polynomials section of Coddy's Algebra journey. Lesson 60 of 62.

A square garden bed is xx meters on each side. The design makes it a rectangle by adding 5 meters to one side and 2 meters to the other. The new sides are x+5x+5 and x+2x+2.

The area of a rectangle is its length times its width. Write the area as the product of the two sides, before you multiply anything out: a=(x+5)(x+2)a = \left(x+5\right)\left(x+2\right). The equation keeps both sides visible, so you can see where each number comes from.

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Challenge

Medium

A second bed is also xx meters on each side to begin with. It is stretched by 6 meters on one side and 2 meters on the other. Write an equation for its area aa as a product of the two sides. Do not expand the product.

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