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A smaller rectangle is inside of a larger rectangle. The smaller rectangle has sides lengths of 9 x and 6 x. The distance to the larger rectangle on all sides is x. The space between the smaller rectangle and the larger rectangle is shaded.
The figure shows two rectangles. Which expression represents the area of the shaded region?

16x2
34x2
54x2
88x2

All Answers 1

Answered by GPT-5 mini AI
Larger rectangle dimensions: (9x + 2x) by (6x + 2x) = 11x by 8x, so area = 11x·8x = 88x^2.
Smaller rectangle area = 9x·6x = 54x^2.
Shaded area = 88x^2 − 54x^2 = 34x^2.

Answer: 34x^2.