Question

The width of a rectangle is 9 inches more than 5 times the length. If x represents the length, write an algebraic expression in terms of x that represents the perimeter of the rectangle. Simplify the expression.

Answer 1

The expression that represents the perimeter of the rectangle is "12*x + 18", where "x" is the length of the rectangle.

Explanation:

In order to solve this question we were given an expression that relates both dimensions of the rectangle. This expression in a mathematical form where "x" is the length and "y" is the width is shown bellow:

y = 9 + 5*x

The perimeter of a rectangle is given by:

perimeter = 2*length + 2*width

perimeter = 2*x + 2*(9+5*x)

perimeter = 2*x + 18 + 10*x

perimeter = 12*x + 18

The expression that represents the perimeter of the rectangle is "12*x + 18", where "x" is the length of the rectangle.