Write and simplify the equation you would use to solve the problem below.

A farmer builds a rectangular pen with a perimeter of 116 feet. If the length is 5 feet more than the width, what is the width?
A.
w + 5 = 116
B.
4w + 10 = 116
C.
2w + 5 = 116
D.
2w + 10 = 116

Question

Write and simplify the equation you would use to solve the problem below.

A farmer builds a rectangular pen with a perimeter of 116 feet. If the length is 5 feet more than the width, what is the width?
A.
w + 5 = 116
B.
4w + 10 = 116
C.
2w + 5 = 116
D.
2w + 10 = 116

anonymous · Answer

@johnweldon1993

anonymous · Answer

@primeralph

anonymous · Answer

@blurbendy

johnweldon1993 · Answer

Well we know that the perimeter is the sum of all the sides so

$$P = 2w + 2l$$

And we are given to understand that the length is 5 feet more than the width so

$$l = w + 5$$

And we would substitute that in for 'l' in our first equation...can you do that?

johnweldon1993 · Answer

actually we can plug in the value for perimeter as well since we know it

our 2 equations are

$$116 = 2w + 2l$$
$$l = w + 5$$

johnweldon1993 · Answer

So NOW substitute that stuff we found out that l equals.....and plug that into our 1st equation

$$116 = 2w + 2(w + 5)$$

Can you solve it from here?