The dance floor is 20 meters long. using this information to you follow the directions below. 1.) write an equation using variables to represent the perimeter of the dance floor. 2.) solve the equation to find the dimensions of the dance floor. 3.) write an equation using variables to represent the area of the dance floor. 4.

The complete question is

A dance floor has a perimeter of 60 meters. The dance floor is 20 meters long. Use this information to  help you follow the directions below.

1. Write an equation using variables to represent the perimeter of the dance floor. 2. Solve the equation to find the dimensions of the dance floor. 3. Write an equation using variables to represent the area of the dance floor. 4. Solve the equation to find the area of the dance floor.

Let

L-------->  the length side of the dance floor

W-------> the width side of the dance floor

P------> Perimeter of the dance floor

A-----> area of the dance floor

we know that

the perimeter of the dance floor is

therefore

the answer Part 1) is

The equation to represent the perimeter of the dance floor is

Part 2) Solve the equation to find the dimensions of the dance floor.

In this problem we have

Substitute in the Perimeter formula

therefore

the answer part 2) is

the dimensions of the dance floor are

the length side of the dance floor is

the width side of the dance floor is

Part 3) Write an equation using variables to represent the area of the dance floor

we know that

the area of the dance floor is

therefore

the answer part 3) is

The area of the dance floor is

Part 4) Solve the equation to find the area of the dance floor.

we know that

Substitute in the formula of area

therefore

the answer art 4) is

the area of the dance floor is

$35.59 in pounds

step-by-step explanation: