The width of a rectangle measures (10p-9q) centimeters, and its length measures (7p+8q) centimeters. Which expression represents the perimeter, in centimeters , of the rectangle? Answer -2+34p 17p-1 -9+16q+34p -2q+34p

To find the perimeter of a rectangle, we need to add up the lengths of all four sides. Since a rectangle has two pairs of equal sides, we can simply add the length and width and then multiply by 2.<br /><br />Given:<br />Width of the rectangle = $(10p-9q)$ centimeters<br />Length of the rectangle = $(7p+8q)$ centimeters<br /><br />Step 1: Add the length and width of the rectangle.<br />$(10p-9q) + (7p+8q) = 17p - q$<br /><br />Step 2: Multiply the sum by 2 to get the perimeter.<br />$2 \times (17p - q) = 34p - 2q$<br /><br />Therefore, the expression that represents the perimeter of the rectangle is $-2q+34p$.