Question

A fence is being built around a rectangular garden. The length of the garden is 50 feet, and the total fencing used to enclose the garden measures 250 feet. Determine the equation to find the width, w, of the garden, in feet.

Answer 1

100+2w = 250

w = 75

Step-by-step explanation:

Let us sketch a rectangle with the measurements given

the perimeter we see is

`w+w+50+50`
`=2w+100`

We are told that the perimeter is 250; therefore,

`2w+100=250`

Subtracting 100 from both sides gives

`2w=150`

Finally, dividing both sides by 2 gives

`w=(150)/(2)`
`w=75`

which is our answer!