The width of a rectangle measures (10 g-7) centimeters, and its length measures (g-9) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle? 3g-8 -32+22 g 6g-16 11 g-16

Question

The width of a rectangle measures  (10 g-7) centimeters, and its length measures  (g-9) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?  3g-8  -32+22 g  6g-16  11 g-16

Bytelearn · Accepted Answer

Perimeter Formula: To find the perimeter of a rectangle, we need to add together the lengths of all four sides. The formula for the perimeter (P) of a rectangle is P = 2 * (width + length).Substitute Given Expressions: First, let's substitute the given expressions for the width and length into the perimeter formula: P = 2 * ((10g - 7) + (g - 9))Simplify Inside Parentheses: Now, we simplify the expression inside the parentheses: (10g - 7) + (g - 9) = 10g + g - 7 - 9Combine Like Terms: Combine like terms: 10g + g = 11g -7 - 9 = -16 So, (10g - 7) + (g - 9) simplifies to 11g - 16Multiply by 2: Now, multiply this expression by 2 to find the perimeter: P = 2 * (11g - 16)Distribute the 2: Distribute the 2 into the expression: P = 2 * 11g - 2 * 16Perform Multiplication: Perform the multiplication: P = 22g - 32

The width of a rectangle measures $(10 g-7)$ centimeters, and its length measures $(g-9)$ centimeters. Which expression represents the perimeter, in centimeters, of the rectangle? $\newline$ $3 g-8$ $\newline$ $-32+22 g$ $\newline$ $6 g-16$ $\newline$ $11 g-16$

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