Answer: E
Step-by-step explanation:
length: 3w
width: ?
perimeter: 20 inches
[tex]Formula: P=2(l+w)[/tex]
Plug your values into the formula.
[tex]20=2(3w+w)[/tex]
Divide by 2.
[tex]\frac{20}{2}=3w+w[/tex]
Combine like terms and simplify.
[tex]10=4w[/tex]
Divide by 4
[tex]\frac{10}{4}=w\\\frac{5}{2}=w[/tex]
Now determine the length, replacing the value of w.
[tex]3(\frac{5}{2})=\frac{15}{2}[/tex]
Now, to find the area, use the following formula: [tex]A=l*w[/tex]
[tex]A=(\frac{15}{2})(\frac{5}{2})\\A=\frac{75}{4}\\ A=18.75in^2[/tex]
