# Geometric Modeling Consider the figure, which is a square divided into two squares and two…

Geometric Modeling Consider the figure, which is a square divided into two squares and two rectangles.

(a) The length of each side of the largest square is x + y. Use the formula for the area of a square towrite the area of the largest square as a power.

(b) Use the formulas for the area of a square and the area of a rectangle to write the area of the largestsquare as a trinomial that represents the sum of the areas of the four figures that make it up.

(c) Explain why the expressions in parts (a) and (b) must be equivalent.

(d) What special product formula from this section does this exercise reinforce geometrically?

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