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.

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Gerhard

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94 Answers

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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