Solve the problem. Consider the figure, which is a square divided into two squares and two rectangles.
Question:
Solve the problem.
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 to write 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 largest square 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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a The area of the largest square is s x y b The areas of the two squares ...View the full answer
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Related Book For 
College Algebra
ISBN: 978-0134697024
12th edition
Authors: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
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