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08-02-2022
Mathematics

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Consider a square with side length s. now increase the width and decrease the length by 6. which polynomials represent the area of the new figure?

Consider a square with side length s now increase the width and decrease the length by 6 which polynomials represent the area of the new figure class=

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08-02-2022

Answer:

A1 =L W = s * s = original area

A2 = (s - 6) (s + 6) area of new figure

A2 = s^2 -36 area of new figure

Note: a^2 - b^2 = (a - b) (a + b)

Check: Suppose the original square was 12 X 12

A1 = 144 and A2 = 18 * 6 = 108

Or 144 - 108 = 36

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