Answer:
The dimensions of the rectangular volleyball court are 60 ft x 30 ft
Step-by-step explanation:
Let
x ----> the length of rectangular volleyball court
y ---> the width of the rectangular volleyball court
we know that
The area of the rectangular volleyball court is equal to
[tex]A=xy[/tex]
[tex]A=1,800\ ft^2[/tex]
so
[tex]1,800=xy[/tex] ----> equation A
[tex]x=2y[/tex] -----> equation B
substitute equation B in equation A
[tex]1,800=(2y)y[/tex]
[tex]1,800=2y^2[/tex]
Solve for y
Simplify
[tex]900=y^2[/tex]
take square root both sides
[tex]y=30\ ft[/tex]
Find the value of x
[tex]x=2y[/tex]
substitute the value of y
[tex]x=2(30)=60\ ft[/tex]
therefore
The dimensions of the rectangular volleyball court are 60 ft x 30 ft
