Respuesta :
Answer:
The measure of the length is [tex]23\ ft[/tex]
Step-by-step explanation:
Let
x-----> the length of rectangle
y-----> the width of rectangle
we know that
The perimeter of rectangle is equal to
[tex]P=2(x+y)[/tex]
[tex]P=66\ ft[/tex]
so
[tex]66=2(x+y)[/tex]
Simplify
[tex]33=x+y[/tex] -----> equation A
[tex]x=2y+3[/tex] ----> equation B
Substitute equation B in equation A and solve for y
[tex]33=(2y+3)+y[/tex]
[tex]2y+y=33-3[/tex]
[tex]3y=30[/tex]
[tex]y=10\ ft[/tex]
Find the value of x
[tex]x=2(10)+3=23\ ft[/tex]