Question

domain: trigonometry and geometry
difficulty: easy
a rectangle has a length that is 3 times its width. if the perimeter is 48 units, what is the area of the rectangle?
please type your final answer as a number. do not include units in your answer.
your answer

Explanation:

Step1: Set up perimeter equation

Let width be $w$, length $l = 3w$. Perimeter $P=2(l + w)=2(3w+w)=8w$. Since $P = 48$, then $8w=48$, $w = 6$.

Step2: Find length

$l=3w = 3\times6=18$.

Step3: Calculate area

Area $A=l\times w=18\times6 = 108$.

Answer:

108