Question

The perimeter of a rectangle measures 36 units, and the length of the rectangle measures 12 units. What is the width of the rectangle? Write an equation in terms of x to solve the problem. State the solution for x and then state the width of the rectangle.

A) Equation: 2L + 2W = 36; Solution for x: x = 6; Width: 6 units
B) Equation: L + W = 36; Solution for x: x = 12; Width: 12 units
C) Equation: 2L + 2W = 36; Solution for x: x = 3; Width: 3 units
D) Equation: L + W = 24; Solution for x: x = 12; Width: 12 units
E) None of the above

Answer 1

To find the width of the rectangle, we can use the formula for the perimeter of a rectangle and substitute the given values. The width of the rectangle is 6 units.

Step-by-step explanation:

To solve this problem, we can use the formula for the perimeter of a rectangle, which is 2L + 2W = 36, where L is the length and W is the width. Since we are given the length as 12 units, we can substitute L with 12 and solve for W:

2(12) + 2W = 36

24 + 2W = 36

2W = 12

W = 6

Therefore, the width of the rectangle is 6 units. The correct answer is A) Equation: 2L + 2W = 36; Solution for x: x = 6; Width: 6 units.