Question

Help will fan and Medal!!!

Answer 1

Problem: The rectangular playing area of a professional football field is 100 yards long. The perimeter of the playing area is 920 feet. The formula for the perimeter of a rectangle is [P equals two times l plus two times w] .
How many feet wide is the playing area? Don't forget to convert the length from yards to feet. (There are 3 feet in 1 yard.)

Solution: There are two ways to solve this problem.
You can solve the formula for the unknown variable, then substitute. Or, you can substitute, then solve the resulting equation.

Assignment: Your assignment is to solve the problem both ways. A worksheet is provided for you to record your work as you complete this project.

Answer 2

One Way

Use algebraic steps to solve the formula for the desired variable.
Then, substitute known values and simplify.

Answer 3

Another Way

Substitute known values into the formula and simplify where possible.
Use algebraic steps to solve the equation for the remaining variable.

Answer 4

@JGhost ?

Answer 5

Gotcha

Answer 6

Method 1:
So, the field is 100 yards long - converted to feet it's 300 feet.
Take your equation for rectangular perimeter and plug it in.

P = 2(l) + 2(w)

Now what do you have?

Answer 7

p=920=600+2w

Answer 8

920-600/2=w

Answer 9

320/2

Answer 10

160

Answer 11

w=160

Answer 12

Great!

Answer 13

I just didn't know what to do for part 2

Answer 14

the other section

Answer 15

Way 2

Answer 16

Now for Method 2, you already know what to expect.

Take the equation:

P = 2L + 2W

and simplify it without plugging anything in yet...

Answer 17

P = 2L + 2W
-2L -2L
------------------
P - 2L = 2W


Next, isolate W.

Answer 18

p=2[l+w]?

Answer 19

920-600=2w-600
320=2w

Answer 20

920-600=600+2w-600
320=2w
sry about the typo

Answer 21

You got the right answer for Method 2, I just think that it's a bit unclear. The teacher wants you to simplify it out before adding any numbers. Take a look:

Answer 22

The teacher wants you to simplify the entire equation without numbers at first.

Given:

P - 2L = 2W

You would divide each side of the equal sign by 2 to isolate W. You'd then have:

P/2 - L = W

Then just plug everything in:

920/2 - 300 = W

Simplify:

460 - 300 = W
160 = W