Question

Ben has a square garden that has sides measuring X feet, Ben wants to increase every side of his garden by 11 feet in order to plant more vegetables after Ben increased his garden it will have a perimeter of 104 feet, write an equation that can use the find X

Answer 1

We have been given that Ben has a square garden that has sides measuring X feet, Ben wants to increase every side of his garden by 11 feet in order to plant more vegetables. So each side of garden would be
`X+11`.

We are also told that after Ben increased his garden it will have a perimeter of 104 feet.

We know that perimeter of square is 4 times the side length. So perimeter of garden after enlargement would be
`4(X+11)`.

Now we will equate perimeter of new garden with 104 as:

`4(X+11)=104`

Therefore, the equation
`4(X+11)=104` can be used to solve for X.

`(4(X+11))/(4)=(104)/(4)`

`X+11=26`

`X+11-11=26-11`

`X=15`

Therefore, the value of X is 15 feet.