Question

The width of a rectangle measures (9h – 1) centimeters, and its length measures

(2h - 4) centimeters. Which expression represents the perimeter, in centimeters, of
the rectangle?

Answer 1

The perimeter of a rectangle with the given dimensions is represented by the expression 22h - 10 centimeters.

Step-by-step explanation:

The student asked which expression represents the perimeter of a rectangle with a width of (9h – 1) centimeters and a length of (2h - 4) centimeters. To calculate the perimeter of a rectangle, the formula is P = 2l + 2w, where l is the length and w is the width. Therefore, substituting the given expressions for length and width, the formula becomes P = 2(2h - 4) + 2(9h - 1).

By simplifying the equation, we get:

P = 4h - 8 + 18h - 2

P = (4h + 18h) - (8 + 2)

P = 22h - 10

Thus, the expression that represents the perimeter of the rectangle is 22h - 10 centimeters.