Question

The length of a rectangle is $3$ inches greater than its height. The perimeter of the rectangle is $14$ inches. What is its length?

• A. $3$ inches
• B. $5$ inches
• C. $6$ inches
• D. None of the above

Answer 1

The correct option is B $5$ inches

Let the rectangle's height be $x$ inches.
Accordingly, the rectangle's length would be $x+3$ inches.

We know: The perimeter of a rectangle is the total length of all the sides of the rectangle.
Here, perimeter of the rectangle is $x+x+3+x+x+3=4x+6$
Given that the perimeter of the rectangle is $14$ inches.
$\Rightarrow 4x+6=14$
Step 1: Subtract $6$ from both the sides of the equation
$\Rightarrow 4x+6-6=14-6$
$\Rightarrow 4x=8$
Step 3: Divide both the sides of the equation ($4x=8$) by 4
$\Rightarrow \frac{4x}{4}=\frac{8}{4}$
$\Rightarrow x=2$
$\therefore$ The height of the rectangle is $2$ inches.
The length of the rectangle is $2+3=5$ inches