Respuesta :
Let x be the length.
Then the perimeter is given by the formula : 2(20+x)=40+2x.
Area of the dance floor:[tex]x\times20[/tex]
Then the perimeter is given by the formula : 2(20+x)=40+2x.
Area of the dance floor:[tex]x\times20[/tex]
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
[tex]P=2L+2W[/tex]
therefore
the answer Part 1) is
The equation to represent the perimeter of the dance floor is
[tex]P=2L+2W[/tex]
Part 2) Solve the equation to find the dimensions of the dance floor.
In this problem we have
[tex]L=20\ m[/tex]
[tex]P=60\ m[/tex]
Substitute in the Perimeter formula
[tex]60=2*20+2W\\60=40+2W\\2W=60-40\\W=20/2\\ W=10\ m[/tex]
therefore
the answer part 2) is
the dimensions of the dance floor are
the length side of the dance floor is [tex]20\ meters[/tex]
the width side of the dance floor is [tex]10\ meters[/tex]
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
[tex]A=L*W[/tex]
therefore
the answer part 3) is
The area of the dance floor is
[tex]A=L*W[/tex]
Part 4) Solve the equation to find the area of the dance floor.
we know that
[tex]L=20\ m\\W=10\ m[/tex]
Substitute in the formula of area
[tex]A=20*10[/tex]
[tex]A=200\ m^{2}[/tex]
therefore
the answer art 4) is
the area of the dance floor is [tex]200\ m^{2}[/tex]
