Question

The width of a rectangle measures (9.4g+2.9) centimeters, and its length measures (1.8g+9.2) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

a. 2(9.4g+2.9+1.8g+9.2)
b. 2(9.4g+1.8g)+2(2.9+9.2)
c. 2(9.4+1.8)g+2(2.9+9.2)
d. 2(9.4g+1.8g)+2(2.9g+9.2)

Answer 1

The perimeter of the rectangle is represented by option b, which is 2(9.4g+1.8g)+2(2.9+9.2). This expression is obtained by applying the perimeter formula P = 2(l + w) and simplifying the given width and length expressions.

Step-by-step explanation:

The student is asking how to find the perimeter of a rectangle when given the expressions for the width and length of the rectangle. The width measures (9.4g+2.9) cm and the length measures (1.8g+9.2) cm. To find the perimeter P of a rectangle, you use the formula P = 2(l + w), where l is the length and w is the width.

Applying this formula, the expression for the perimeter of the rectangle can be written as:

P = 2((9.4g+2.9) + (1.8g+9.2))

When combining like terms, we get:

P = 2((9.4g + 1.8g) + (2.9 + 9.2))

P = 2(11.2g + 12.1)

Looking at the options provided by the student, the expression that matches our result is:

b. 2(9.4g+1.8g)+2(2.9+9.2)