the dimensions of a rectangle piece of metal are 2y by y 7 if a 1 inch by 1 inch square is removed from each corner write
Question
The dimensions of a rectangle piece of metal are (2y) by (y-7). If a 1-inch by 1-inch square is removed from each corner, write an expression that represents the area of the remaining piece of metal. Express the area in factored form.
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Answer to a math question The dimensions of a rectangle piece of metal are (2y) by (y-7). If a 1-inch by 1-inch square is removed from each corner, write an expression that represents the area of the remaining piece of metal. Express the area in factored form.
1. Original dimensions of the rectangle: \((2y) \times (y-7)\).
2. Remove a 1-inch by 1-inch square from each corner, which subtracts 2 inches from each dimension.
3. New length: \(2y - 2\).
4. New width: \(y - 7 - 2 = y - 9\).
5. The area of the remaining rectangle: \((2y - 2)(y - 9)\).
Answer:
(2y - 2)(y - 9)
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