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____ [38]
4 years ago
15

Write a polynomial that represents the area of the shaded region

Mathematics
1 answer:
Arisa [49]4 years ago
7 0

Answer:

S = 1/2 . x^2 + 11/2 . x + 15

Step-by-step explanation:

- Let S = the area of the shaded region

- From the figure we see that S = 1/2 the area of the rectangle

- The area of the rectangle is (x+5)(x+6) = x^2 + 11x + 30

--> S = 1/2 (x^2 + 11x + 30)

--> S = 1/2 . x^2 + 11/2 . x + 15

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