Mathematics: The area of a rectangular volleyball court is 1800 square feet the courts length is twice it width write a system of equations that could be used to determine the dimensions in feet of the volleyball court

The area of a rectangular volleyball court is 1800

farashka03

08.01.2022

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

A=xy

$A=1,800\ ft^2$

1,800=xy ----> equation A

x=2y -----> equation B

substitute equation B in equation A

1,800=(2y)y

1,800=2y^2

Solve for y

Simplify

900=y^2

take square root both sides

$y=30\ ft$

Find the value of x

x=2y

substitute the value of y

$x=2(30)=60\ ft$

therefore

The dimensions of the rectangular volleyball court are 60 ft x 30 ft

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