Question

3. A rectangle has a perimeter of 48 inches. The length of the rectangle is 4 inches shorter

than 3 times its width. The equation below shows the perimeter of the rectangle in terms of
x, the rectangle's width.
2 (x) + 2 (3.2 -
4) = 48
What does 3-4 represent in the equation?
A. the width of the rectangle
B. the length of the rectangle
C. the perimeter of the rectangle
D. the number of sides of the rectangle

Answer 1

The term 3x-4 in the equation is Option B. the length of the rectangle.

Explanation:

Given that,

• Perimeter of rectangle 2(length+width) = 48 inches.
• Width of the rectangle = x inches.
• Length of rectangle = 4 inches shorter than 3 times the width ⇒ 3x-4

The equation can be formed as:

48 = 2(x) + 2(3x-4)

The term 3x-4 represent the length of the rectangle.