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Vika [28.1K]
3 years ago
8

a square green rug has a yellow square in the center. The side of the yellow square is x inches the width of the green band that

surrounds the yellow square is 7 inches. What is the area of the green band?
Mathematics
1 answer:
Bingel [31]3 years ago
8 0

Answer:

  28x +196 in^2

Step-by-step explanation:

The outside dimension of the square green rug is (x+14), so its area is (x+14)^2. The area of the green band will be the difference between this and the area of the yellow square, (x^2).

  green band area = (x +14)^2 -(x^2) = x^2 +28x +196 -x^2

  green band area = 28x +196 . . . . square inches

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