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.
298
likes
1491 views
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)
Frequently asked questions (FAQs)
What is the probability of drawing two cards of the same suit (without replacement) from a standard deck of 52 cards?
+
Math question: How many solutions exist for the equation x^n + y^n = z^n, satisfying Fermat's Theorem, where x, y, z, and n are positive integers each less than 10?
+
What is the measure of the third angle in an isosceles triangle if the other two angles are both 45 degrees?