Question

The length of a rectangle with area $54$ square centimeters is $9$ centimeters. What is the perimeter of the rectangle, in centimeters?

• A. $6$
• B. $12$
• C. $15$
• D. $24$
• E. $30$

Answer 1

The correct option is E $30$

Area of rectangle is length multiplied by width that is

$A=l\times w$

Now substitute $l=9$ and $A=54$, we get

$54=9\times w$

$\Rightarrow w=\frac{54}{9}$

$\Rightarrow w=6$ cm

Perimeter of rectangle is $P=2l+2b$ that is

$P=2\left(9\right)+2\left(6\right)$

$=18+12$

$=30$cm

Hence, option E is correct.